solve this system of equations:\ny = x - 4\ny = 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 )