Question

3x + 5y = 28
-4x-5y = -34​

Answer 1

x=6 and y=2

Explanation:

3x+5y=28

−4x−5y=−34

Add these equations to eliminate y:

−x=−6

Then solve −x=−6 for x:

−x=−6

`(-x)/(-1) =(-6)/(-1)` (Divide both sides by -1)

x=6

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+5y=28

Substitute 6 for x in 3x+5y=28:

(3)(6)+5y=28

5y+18=28 (Simplify both sides of the equation)

5y+18+−18=28+−18 (Add -18 to both sides)

5y=10

`(5y)/(5) =(10)/(5)` (Divide both sides by 5)

y=2