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Let's solve the system of equations: 1. \( y = 9x \) 2. \( y = 2x + 63 \) Since both equations equal \( y \), we can set them equal to each other: \[ 9x = 2x + 63 \] Subtract \( 2x \) from both sides: \[ 9x - 2x = 63 \] \[ 7x = 63 \] Divide both sides by 7: \[ x = 9 \] Now, substitute \( x = 9 \) back into either equation to find \( y \): Using \( y = 9x \): \[ y = 9 \times 9 = 81 \] **Solution:** \[ \boxed{(x, y) = (9, 81)} \] This is the point of intersection for the two lines.
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