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marissa [1.9K]
3 years ago
7

Please help as soon as possible

Mathematics
1 answer:
Luda [366]3 years ago
5 0
EQUATION 1: x-y=12
EQUATION 2: 3x+y=4

STEP 1:
solve for one variable in equation 1

x - y= 12
add y to both sides

x= 12 + y


STEP 2:
use x value from step 1 and substitute in equation 2

3x + y= 4

3(12 + y) + y= 4
multiply 3 by parentheses

(3*12) + (3*y) + y= 4
multiply inside parentheses

36 + 3y + y= 4
combine like terms

36 + 4y= 4
subtract 36 from both sides

4y= -32
divide both sides by 4

y= -8


STEP 3:
substitute y value from step 2 into either equation

x - y= 12
x - (-8)= 12
x + 8= 12
subtract 8 from both sides
x= 4


CHECK:
x= 4, y= -8

3x + y= 4
3(4) + (-8)= 4
12 - 8= 4
4= 4


ANSWER: The x value is 4 and the y value is -8.

Hope this helps! :)
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e. 72 inches

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One simple way to approach this is to subtract the number that DOESN’T have the variable with the solution by the sum.
Lets use problem 1 as the example:
1.) N+8=13
In this case, we subtract 13 by 8 and get 5, therefore N= 5.

2.) B+17=62
62-17= 45
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3.) X+5/6= 7/16
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Since we don’t know the number being increased by 19, that will be our variable. It will be re-written as so:

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Using the same method of subtracting by the sum and the number that’s not the variable, we’ll get the solution to N
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