Systems of linear equations unit test

Review the graphs of a system of these two linear equations in two variables y = 4x - 10 and u = - 2x + 8 Find the solution of the system (1 point) The solution of the system of equations is (sqrt(3, 2))

1 answer

The solution of the system of equations is not (sqrt(3, 2)). To find the solution of the system, we need to solve the equations simultaneously.

Given equations:
y = 4x - 10
u = -2x + 8

To find the solution, we need to set y equal to u:
4x - 10 = -2x + 8
Adding 2x to both sides:
6x - 10 = 8
Adding 10 to both sides:
6x = 18
Dividing by 6:
x = 3

Now that we have found the value of x, we can substitute it back into one of the equations to find the value of y:
y = 4(3) - 10
y = 12 - 10
y = 2

Therefore, the solution to the system of equations is x = 3 and y = 2.