Solving Systems of Linear Equations by Substitution

What is the first step in solving the system of equations y = x - 1 and y = 2x - 2 using substitution?

• Add the two equations together

• Subtract the second equation from the first

• Replace y in the second equation with x - 1

• Multiply both equations by 2

After finding x = 1 in the first example, what is the next step to find the value of y?

• Multiply x by 2

• Substitute x = 1 into y = x - 1

• Substitute x = 1 into y = 2x - 2

• Add 1 to both sides of the equation

How do you verify the solution for the system of equations y = x - 1 and y = 2x - 2?

• Graph the equations

• Use a different method to solve

• Solve the equations again

• Check if the point satisfies both equations

In the second example, what expression is substituted for y in the equation 4x + 2y = 27?

• 4x + 2

• x - 1

• 2x - 2

• x + 12

What is the final solution for the system of equations y = x + 12 and 4x + 2y = 27?

• (0, 1)

• (1/2, 25/2)

• (2, 3)

• (1, 0)