Question

1. $a + 4b = -4$

$a + 10b = -16$

Explanation:

Step1: Label the two equations

Let Equation 1: $a + 4b = -4$
Equation 2: $a + 10b = -16$

Step2: Subtract Equation1 from Equation2

$(a + 10b) - (a + 4b) = -16 - (-4)$
Simplify: $6b = -12$

Step3: Solve for $b$

$b = \frac{-12}{6} = -2$

Step4: Substitute $b=-2$ into Equation1

$a + 4(-2) = -4$
Simplify: $a - 8 = -4$

Step5: Solve for $a$

$a = -4 + 8 = 4$

Answer:

$a=4$, $b=-2$