Question

y = -3x + 7
y = x + 1
(\boxed{ }, \boxed{ })
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Explanation:

Step1: Set equations equal

Since \( y = -3x + 7 \) and \( y = x + 1 \), set \( -3x + 7 = x + 1 \).

Step2: Solve for x

Subtract \( x \) and 7: \( -4x = -6 \), so \( x = \frac{3}{2} = 1.5 \).

Step3: Find y

Substitute \( x = 1.5 \) into \( y = x + 1 \): \( y = 1.5 + 1 = 2.5 \).

Answer:

\((1.5, 2.5)\) (or as fractions \((\frac{3}{2}, \frac{5}{2})\))