Question

2/11 solve the system.
$y = -4x + 5$
$y = x - 10$

Explanation:

Step1: Set equations equal (substitution)

Since $y = -4x + 5$ and $y = x - 10$, set them equal:
$$-4x + 5 = x - 10$$

Step2: Isolate x terms

Subtract $x$ from both sides, subtract 5 from both sides:
$$-4x - x = -10 - 5$$
$$-5x = -15$$

Step3: Solve for x

Divide both sides by $-5$:
$$x = \frac{-15}{-5} = 3$$

Step4: Solve for y using x=3

Substitute $x=3$ into $y = x - 10$:
$$y = 3 - 10 = -7$$

Answer:

$x=3$, $y=-7$ (or the ordered pair $(3, -7)$)