Solve this system using the linear combination method. Show your work.

4x + 2y = 5
−4x − 5y = 7

Let's solve for x.

4x+2y=5

Step 1: Add -2y to both sides.

4x+2y+−2y=5+−2y

4x=−2y+5

Step 2: Divide both sides by 4.

4x

4

=

−2y+5

4

x=

−1

2

y+

5

4

Let's solve for x.

−4x−5y=7

Step 1: Add 5y to both sides.

−4x−5y+5y=7+5y

−4x=5y+7

Step 2: Divide both sides by -4.

−4x

−4

=

5y+7

−4

x=

−5

4

y+

−7

4

x=

−5

4

y+

−7

4

Step-by-step explanation:

I hope this helps

step-by-step explanation: