Question

x + 9y = 5\
4x + 9y = -7

Explanation:

Step1: Label the equations

Let Equation 1: $x + 9y = 5$
Equation 2: $4x + 9y = -7$

Step2: Eliminate $9y$ via subtraction

Subtract Equation 1 from Equation 2:
$(4x + 9y) - (x + 9y) = -7 - 5$
Simplify: $3x = -12$

Step3: Solve for $x$

Divide both sides by 3:
$x = \frac{-12}{3} = -4$

Step4: Substitute $x=-4$ into Equation1

$-4 + 9y = 5$

Step5: Solve for $y$

Add 4 to both sides: $9y = 5 + 4 = 9$
Divide by 9: $y = \frac{9}{9} = 1$

Answer:

$x=-4$, $y=1$