Question

Use the elimination method to solve the system of equation.
7x+4y=39
2x+4y=14

Answer 1

x=5, y=1

Explanation:

you subtract to get rid of 'y' in the equation like you are subtracting two numbers

7x+4y=39

2x +4y =14

5x=25

simplify to get 'x'

x=5

to get 'y' substitute the value of 'x' in one of the equations

2x+4y=14

(2x5)+4y=14

10+4y=14

subtract 10 to get 'y' on its own

4y= 4

simplify to get 'y'

y= 1

Answer 2

Answer:
x=5 and y=1
Explanation:
You treat this as a subtraction problem first noticing which variables are the same between both equations which is 4y.
We set up the subtraction between 7x+4y=39 and 2x+4y=14
7x+4y=39
-(2x+4y=14)
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We subtract and now we get 5x=25
We solve for x and get 5.
Now we plug in the x value into one of the equations to get the y value.
2(5)+4y=14
10+4y=14
4y=4
y=1