Question

question
solve the system by substitution.

y = 8x
y = 10x - 4

answer attempt 1 out of 2

Explanation:

Step1: Substitute \( y = 8x \) into \( y = 10x - 4 \)

Since both equations equal \( y \), we can set them equal to each other: \( 8x = 10x - 4 \)

Step2: Solve for \( x \)

Subtract \( 10x \) from both sides: \( 8x - 10x = -4 \) which simplifies to \( -2x = -4 \). Then divide both sides by \( -2 \): \( x = \frac{-4}{-2} = 2 \)

Step3: Find \( y \) using \( y = 8x \)

Substitute \( x = 2 \) into \( y = 8x \): \( y = 8\times2 = 16 \)

Answer:

The solution to the system is \( x = 2 \), \( y = 16 \) or as an ordered pair \( (2, 16) \)