Question

solve the linear system
3.
$4x + 9y = 1$
$4x + 6y = -2$

Explanation:

Step1: Subtract the two equations

$(4x + 9y) - (4x + 6y) = 1 - (-2)$
Simplify: $3y = 3$

Step2: Solve for $y$

$y = \frac{3}{3} = 1$

Step3: Substitute $y=1$ into first equation

$4x + 9(1) = 1$
Simplify: $4x + 9 = 1$

Step4: Solve for $x$

$4x = 1 - 9 = -8$
$x = \frac{-8}{4} = -2$

Answer:

$x=-2$, $y=1$