Consider the following set of equations:
Equation A: y = −x + 5
Equation B: y = 6x − 2
Which of the following is a step that can be used to find the solution to the set of equations?
Group of answer choices
−x = 6x + 2
−x − 2 = 6x + 5
−x + 5 = 5x
−x + 5 = 6x − 2
To find the solution to the set of equations, you can set Equation A equal to Equation B and solve for x:
−x + 5 = 6x − 2
Then, you can rearrange the equation to isolate x:
7x = 7
x = 1
Once you have found the value of x, you can substitute it back into Equation A or Equation B to solve for y:
Using Equation A:
y = -(1) + 5
y = 4
Therefore, the solution to the set of equations is x = 1 and y = 4.
So, the correct step that can be used to find the solution to the set of equations is: −x + 5 = 6x − 2