How do we check an answer to an algebraic equation to make sure that it is correct?

Answers

Answer 1

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

- BRAINLIEST answerer

Answer 2

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct


Related Questions

Please help me please

Answers

Answer:

Step-by-step explanation:

Answer:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1


2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?

Answers

Answer:

15

Step-by-step explanation:

Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.

Hope it helped!

There are 15 more female teachers than the male teachers.

What is equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,

Let there be 6x female and 4x male teachers in the school,

Establishing the equation,

6x + 4x = 75

10x = 75

x = 7.5

Number of more females = 6x-4x = 2x = 2(7.5) = 15

Hence, there are 15 more female teachers than the male teachers.

For more reference on equations, click;

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Emma withdraws $20 each week from her bank account. After 3 weeks, she has $150 left in her account.




Let `x` represent the number of weeks and `y` represent the amount of money in Emma's bank account.




Write an equation to represent this situation in slope-intercept form `y=mx+b.`

Answers

Answer:

210-20x=y

Step-by-step explanation:

150 is after 3 weeks of withdrawing 20 so $60

150+60=210 is the beginning amount

210-20x=y

3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.​

Answers

Answer:

Hello!

After reading the question you have provided I have come up with the correct numerical expression:

4x5-1

Step-by-step explanation:

To come up with this solution you need to keep in mind some of the terminoloy being used.

The word "subtract" comes from the action of subtraction

The word "product" comes from the action of multiplication

Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".

So you get the first part being 4x5

Then, you add in the last part of "subract 1" from the "product of 4 and 5":

4x5-1

Remember to keep in mind the rule of "PEMDAS"

You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.

Here to form the numerical expression we will first do the product of 4 and 5 and then subtract 1 from their resultant and that is ou required answer.

What is numerical expression ?

A numerical expression is written in terms of numbers and their operations numerical expression can of many types for example arithmatic expression , alzebraic expression etc.

some examples of arithmatic operations are -

240+130 = 370

240÷12 = 20

Some examples of alzebraic expressions are

3x + 4y = 7

x² + 3x - 7 = 0

In the given question subtract 1 from the product of 4 and 5 can be expressed as (4x5) - 1 = 20 - 1 = 19

Leran more about numerical expression here :

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Solve this equation, show all your work:
6(x+1)=-2(3x+9)

Answers

Answer:

x=-2

Step-by-step explanation:

6(x+1)=-2(3x+9)

Distribute the 6.

6x+6=-2(3x+9)

Distribute the -2.

6x+6=-6x-18

Move the variable to the left-hand side and change the sign.

6x+6+6x=-18

Collect like terms

12x=-18-6

Calculate the difference.

12x=-24

Divide both sides by 12.

x=-2

Hope this helps :)

l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?

Answers

Answer:  3 seconds

Step-by-step explanation:

h(t) = -16(t)^2 + 112(t)

Set h(t) = 192 feet

192 = -16(t)^2 + 112(t)

0 = -16(t)^2 + 112(t) - 192

Solve using the quadratic formula:  There are two solutions, 3 and 4 seconds.  Three seconds is the first time it reachers 192 feet,  At four seonds it's on its way down.

The function can also be graphed (attached).

Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?

Answers

Answer=

$10.75 is the cost of an adult ticket

Answer:

£10.75

Step-by-step explanation:

6 tickets=£40.50

cost of adult=£6 more than a child's

let's form an equation!

x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:

2(6+x)+4x=40.50

12+2x+4x=40.50

12+6x=40.50

6x=28.50

x=4.75=the cost of a child ticket

adult ticket =£10.75

equivalent to -36 - 8

Answers

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.

H=
And the equation

Answers

Answer:

equation: 10.00+2.50h=7.00+4.00h

10+2.5h-4h=7

10-1.5h=7

-1.5h=7-10

1.5h/1.5=-3/1.5

h=2

I need some help with this one I'm lost!

Answers

Answer:

-334

Step-by-step explanation:

tyes sfdfa d

Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after



help pls

Answers

Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120

Write the following number in expanded form.

176,945,596​

Answers

Answer:

= 176,945,596

Step-by-step explanation:

100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596

= 176,945,596

(Hope this helps can I pls have brainlist (crown)☺️)

ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS

Answers

You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.

The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.

The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.

If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!

I do this so y'all can get extra point and complete challenges!
What is zero times 3575828592
:D

Answers

Answer:

0

Step-by-step explanation:

factorise

3a^2+8a+4


someone help​

Answers

Answer:

(3a+2) (a+2)

Step-by-step explanation:

3a²+8a+4

ur sum is 8

ur product is 12

6x2 = 12

6+2=8

3a²+6a+2a+4

3a(a+2)+2(a+2)

(3a+2) (a+2)

Start by writing (3a + ) (a + )
+ is determined by the + in the problem
Next think of a number that will multiply to get 4 and add to get 8 (this is multiplied by 3)
The answer is:
(3a + 2) (a + 2)
To check the work expand it to find you get the original function again

PLEASE HELP ME I'LL GIVE YOU BRAINLIEST

Answers

Answer:

1. The measure of a right angle is greater than the measure of an acute angle.

2. Given

3. Perpendicular lines form right angles.

4. If two angles of a right triangle...

(Please thank and rate if my answer helped!!!!)

Step-by-step explanation:

a rectangle is 40cm long and 30cm wide, use a scale of 1cm to represent 10cm to draw a scale diagram of the rectangle on the grid.​

Answers

Hello mariamhifzur!

Given,

A rectangle is 40 cm long & 30 cm wide. So,

Length = 40 cmWidth = 30 cm

Now, using a scale of 1 cm to represent 10 cm we need to draw a scale diagram of the rectangle on the grid.​

At first we need to convert the measurements of the rectangle in real life to its scale measurements.  In the question given, we need to convert 10 cm to 1 cm in the scale. So,

Length = 40 cm = 4 cm (in the scale figure)Width = 30 cm = 3 cm (in the scale figure)

Now, suppose each grid is equal to 1 cm. Then, we can take the measurements as :

Length = 4 cm = 4 boxes/gridsWidth = 3 cm = 3 boxes/grids

Let's draw the figure now. Our rectangle looks like ... (see the attachment).

_____________

[tex]\mathfrak{Lucazz}[/tex]

If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.

Answers

Answer:

Step-by-step explanation:

6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.

What are numbers that add to 50 and subtract to 10

Answers

Answer:

30 plus 20 is 50

30 minus 20 is 10

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck

Answers

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

PLEASEEEEE Help me with this

Answers

b is the correct answer :)

simplify:...... (3x⁴)³

Answers

Answer:

27[tex]x^{12}[/tex]

Step-by-step explanation:

Long way:  3x^4)^3 means that 3x^4 will be multiply by itself three times

[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]  

Short way   [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]

Answer is right here⬇️

Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)​

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form

with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B

in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class​

Answers

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

help please i only have 10 mins left

a. parallel
b. perpendicular
c. neither

Answers

Answer:

they are perpendicular

Step-by-step explanation:

It’s B


Good luckkkkkkkkkkkkkk

What is the estimate for 636,291 plus 280,329

Answers

Answer:

this is simple addition: 916620

Step-by-step explanation:

Answer:

637000 + 280000

Step-by-Step-Explanation:

This is probably the best estimate

Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?

Answers

subtract by seven, multiply by 2: 25-7=18 x 2=36

help................................................

Answers

Answer:

C. 16ft by 4ft

Step-by-step explanation:

Please help (WILL MARK BRAINLIEST) if right and it has an explanation.

Answers

Answer:

64 cm^2

Step-by-step explanation:

First we find the area of the central square: 4^2=16 cm^2

Then we can find the area of the 4 other triangles: 6*4*1/2*(4)->(There are 4 triangles)

We get 48+16, which is 64 cm^2

Please help!!!!!!!!!!!

Answers

Answer:

10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle

Step-by-step explanation:

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