The system of equations y = -6x + 8 and y = 5x - 14 is solved by setting the two equations equal to each other to find x = 2 and then substituting back to find y = -4.
To solve the system of linear equations presented, namely y = -6x + 8 and y = 5x - 14, we set the two expressions for y equal to each other:
-6x + 8 = 5x - 14
Now, we combine like terms:
-6x - 5x = -14 - 8
-11x = -22
Divide both sides by -11 to solve for x:
x = 2
Substitute x back into either of the original equations to find y. Using the first equation:
y = -6(2) + 8
y = -12 + 8
y = -4
The solution to the system is x = 2 and y = -4.
The probable question may be:
Solve each system of equation
y=-6x+8
y=5x-14