Question

Solve by elimination 2x+5y=17 6x-5y=19

Answer 1

The value of y is 1.6

The value of x is 4.5

By elimination:

2x + 5y = 17

6x - 5y = 19

We can add the second equation to the first in order to isolate one variable.

(2x + 5y) + (6x - 5y)

8x = 17

Because we added the left side, we have to add the right side here as well.

17 + 19 = 36

8x = 36

Divide both sides by 8

x = 4.5

We can plug this value back into the original equation to find the value of y.

2(4.5) + 5y = 17

9 + 5y = 17

Subtract 9 from both sides.

5y = 8

Divide both sides by 5.

y = 1.6