Question

find the solution of the system of equations.

$-10x - y = 27$
$-4x - y = 9$

answer attempt 1 out of 2
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Explanation:

Step1: Subtract the two equations

$$(-10x - y) - (-4x - y) = 27 - 9$$
Simplify: $-10x - y + 4x + y = 18$ → $-6x = 18$

Step2: Solve for $x$

$$x = \frac{18}{-6} = -3$$

Step3: Substitute $x=-3$ into second equation

$$-4(-3) - y = 9$$
Simplify: $12 - y = 9$

Step4: Solve for $y$

$$y = 12 - 9 = 3$$

Answer:

$(-3, 3)$