Question
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))
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))
Answers
GPT 3.5
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.
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.