Question

A set of equations is given below:

Equation S: y = x + 9
Equation T: y = 2x + 1

Which of the following steps can be used to find the solution to the set of equations?

Group of answer choices

x + 9 = 2x

x + 1 = 2x + 9

x + 9 = 2x + 1

x = 2x + 1

Answer 1

Solving the set of equations means finding a value of x and y that satisfy both equations S and T.

One method to solve this system of equations is to set the two equations equal to each other:
x + 9 = 2x + 1

Subtract x from both sides:
9 = x + 1

Subtract 1 from both sides:
8 = x

Therefore, x = 8.

To find the value of y, we can substitute x = 8 into Equation S:
y = 8 + 9
y = 17

So, the solution to the set of equations is x = 8 and y = 17.

Therefore, the step x + 9 = 2x can be used to find the solution to the set of equations in this case.