Question

determine which of the following ordered pairs is a solution to the equation ( 3x - 8 = -4y ) (it seems?)
options:
( (-1,1) )
( (1,1) )
( (0,2) )
( (0,-2) )

Explanation:

Step1: Rewrite the given equation

Rearrange $3x - 8 = -4y$ to $3x + 4y = 8$.

Step2: Test $(-1,1)$

Substitute $x=-1, y=1$:
$3(-1) + 4(1) = -3 + 4 = 1
eq 8$

Step3: Test $(1,1)$

Substitute $x=1, y=1$:
$3(1) + 4(1) = 3 + 4 = 7
eq 8$

Step4: Test $(0,2)$

Substitute $x=0, y=2$:
$3(0) + 4(2) = 0 + 8 = 8$

Step5: Test $(0,-2)$

Substitute $x=0, y=-2$:
$3(0) + 4(-2) = 0 - 8 = -8
eq 8$

Answer:

$\boldsymbol{(0, 2)}$