Exploring the Substitution Method for Systems of Equations

What is the first step in solving a system of equations using the substitution method?

• Combine like terms

• Graph the equations

• Use the distributive property

• Isolate one variable

If x = 4, what is the value of y in the equation 5x - 2y = 18?

• 3

• 2

• 4

• 1

In a system where x = -2y, what is the value of y if x - y = 9?

• -2

• -4

• -1

• -3

What is the value of x if y = -3 and x = -2y?

• 3

• -3

• 6

• -6

When both equations are set to y, what is the next step?

• Subtract the equations

• Set the expressions equal to each other

• Add the equations

• Multiply the equations

If y = 6x - 8 and x = 1, what is the value of y?

• 6

• -2

• 2

• 4

What is the result of combining like terms in the equation -4x - 6x + 24 = -16?

• -10x = 16

• -10x + 24 = 16

• -10x = -16

• -10x + 24 = -16

What is the value of x if -10x = -40?

• 2

• 3

• 4

• 5

What is the first step in solving the equation -2x + 6y = 6 for x?

• Add 6y to both sides

• Subtract 6y from both sides

• Multiply both sides by 2

• Divide both sides by 2

If y = 2, what is the value of x in the equation -2x + 6y = 6?

• 4

• 1

• 2

• 3