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solve. $y = -x + 6$ $y = 3x + 2$ ( , ) submit

Question

solve.
$y = -x + 6$
$y = 3x + 2$
( , )
submit

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( -x + 6 = 3x + 2 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 6 = 4x + 2 \).
Subtract 2: \( 4 = 4x \).
Divide by 4: \( x = 1 \).

Step3: Find \( y \) using \( x = 1 \)

Substitute \( x = 1 \) into \( y = -x + 6 \): \( y = -1 + 6 = 5 \).

Answer:

\((1, 5)\)