Question

for each ordered pair, determine whether it is a solution to $2x - 7y = -11$.
$(x,y)$ is it a solution?
yes no
$(8, -2)$
$(5, 3)$
$(-3, 4)$
$(-9, -1)$

Explanation:

Step1: Test (8, -2) in equation

Substitute $x=8, y=-2$ into $2x-7y=-11$:
$2(8)-7(-2)=16+14=30
eq -11$

Step2: Test (5, 3) in equation

Substitute $x=5, y=3$ into $2x-7y=-11$:
$2(5)-7(3)=10-21=-11 = -11$

Step3: Test (-3, 4) in equation

Substitute $x=-3, y=4$ into $2x-7y=-11$:
$2(-3)-7(4)=-6-28=-34
eq -11$

Step4: Test (-9, -1) in equation

Substitute $x=-9, y=-1$ into $2x-7y=-11$:
$2(-9)-7(-1)=-18+7=-11 = -11$

Answer:

(x, y)	Is It a solution?
(5, 3)	Yes
(-3, 4)	No
(-9, -1)	Yes