Question

solve the system of equations.
y = x + 23
y = 9x - 17
x =
y =

Explanation:

Step1: Set equations equal (substitution)

Since $y = x + 23$ and $y = 9x - 17$, substitute:
$$x + 23 = 9x - 17$$

Step2: Isolate x terms

Subtract $x$ from both sides:
$$23 = 8x - 17$$

Step3: Isolate constant terms

Add 17 to both sides:
$$23 + 17 = 8x$$
$$40 = 8x$$

Step4: Solve for x

Divide both sides by 8:
$$x = \frac{40}{8} = 5$$

Step5: Solve for y

Substitute $x=5$ into $y = x + 23$:
$$y = 5 + 23 = 28$$

Answer:

$x = 5$
$y = 28$