Question

solve.
$y = 10x - 10$
$y = 6x - 2$
( , )
submit

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( 10x - 10 = 6x - 2 \).

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides: \( 10x - 6x - 10 = -2 \) → \( 4x - 10 = -2 \).
Add 10 to both sides: \( 4x = -2 + 10 \) → \( 4x = 8 \).
Divide by 4: \( x = \frac{8}{4} = 2 \).

Step3: Find \( y \) using \( x = 2 \)

Substitute \( x = 2 \) into \( y = 6x - 2 \): \( y = 6(2) - 2 = 12 - 2 = 10 \).

Answer:

\((2, 10)\)