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 \( x - 4 = 6x - 10 \).

Step2: Solve for \( x \)

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

Step3: Find \( y \)

Substitute \( x = 1.2 \) into \( y = x - 4 \): \( y = 1.2 - 4 = -2.8 \).

Answer:

The solution is \( x = \frac{6}{5} \), \( y = -\frac{14}{5} \) (or \( x = 1.2 \), \( y = -2.8 \)).