Question

solve this system of equations:
y = x - 4
y = 6x - 10

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set them equal to each other: \( x - 4 = 6x - 10 \)

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( -4 = 5x - 10 \)
Add 10 to both sides: \( 6 = 5x \)
Divide both sides by 5: \( x = \frac{6}{5}=1.2 \)

Step3: Find \( y \)

Substitute \( x = \frac{6}{5} \) into \( y = x - 4 \): \( y=\frac{6}{5}-4=\frac{6}{5}-\frac{20}{5}=-\frac{14}{5}=-2.8 \)

Answer:

The solution to the system is \( x = \frac{6}{5}, y = -\frac{14}{5} \) or in decimal form \( x = 1.2, y = -2.8 \)