Question 1103262
combining the equations is also known as adding and subtracting equations as well as the elimination method.
1) -2x-2y=−4
2) 4x+3y=11
We notice that if we multiply the first equation by 2 we can then add the new equation 3) and 2) to eliminate x
3) -4x-4y=−8
2) 4x+3y=11
-y=3
y=-3
substitute -3 in 2)
4x+3y=11
4x+3(-3)=11
4x-9=11
4x=20
x=5
check in 1)
-2x-2y=−4
-2(5)-2(-3)=-4
-10+6=-4
-4=-4
ok