Question

solve the following system of equations.
$4x + y = 17$
$-6x - y = -23$
$x = \square$
$y = \square$

Explanation:

Step1: Add the two equations

$$(4x + y) + (-6x - y) = 17 + (-23)$$
Simplify:
$$4x - 6x + y - y = 17 - 23$$
$$-2x = -6$$

Step2: Solve for x

Divide both sides by -2:
$$x = \frac{-6}{-2} = 3$$

Step3: Substitute x=3 into first equation

$$4(3) + y = 17$$
$$12 + y = 17$$

Step4: Solve for y

Subtract 12 from both sides:
$$y = 17 - 12 = 5$$

Answer:

$x = 3$
$y = 5$