Question

Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2

Answer 1

Hey!

Here's how you would solve it with elimination:

-2x + 3y = 7

5x + 8y = -2

Multiply first equation by 5 and the second one by 2:

-10x + 15y = 35

10x + 16y = -4

Add the two equations:

-10x + 15y = 35

+

10x + 16y = -4

------------------------

31y = 31

y = 1

Plug this back into one of the original equation:

5x + 8y = -2

5x + 8(1) = -2

5x + 8 = -2

5x = -10

x = -2

Now you have your answer:

y = 1

x = -2