Question

solve the system by graphing.
y = 8x - 1
y = -4x + 8
the solution is ( , ).
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Explanation:

Step1: Set equations equal

Since \( y = 8x - 1 \) and \( y = -4x + 8 \), set \( 8x - 1 = -4x + 8 \).

Step2: Solve for x

Add \( 4x \) to both sides: \( 12x - 1 = 8 \).
Add 1 to both sides: \( 12x = 9 \).
Divide by 12: \( x = \frac{9}{12} = \frac{3}{4} \).

Step3: Find y

Substitute \( x = \frac{3}{4} \) into \( y = 8x - 1 \):
\( y = 8(\frac{3}{4}) - 1 = 6 - 1 = 5 \).

Answer:

\((\frac{3}{4}, 5)\)