Question

Solve the system of equations.


7y+10x−8=0
2y−5x−18=0
​

Answer 1

x = -2

y = 4

Explanation:

you can rewrite each equation as follows:

7y + 10x = 8

2y - 5x = 18

Using the elimination method we can multiply the second equation by 2 to get:

4y - 10x = 36

now add the above to 7y + 10x = 8 to get:

11y = 44

y = 4

Find 'x':

7(4) + 10x = 8

28 + 10x = 8

10x = -20

x = -2

Check:

2(4) - 5(-2) should equal 18

8 - (-10) equals 18?

8 + 10 = 18 CHECKS OUT