Substitution Problems First Step

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Answer explanation

The lines intersect at (1,3) so that is the solution.

Will the solution (-3, -7) make the following system of equations a true statement?

• YES

• NO

Answer explanation

Which answer shows the correct first step for substitution?

• 8(-2x + 3) + 4y = 12

• 8x + 4y = 12(-2x + 3)

• 8x + 4y = 12

• 8x + 4(-2x + 3) = 12

Which answer shows the correct first step for substitution?

• 5(4) + 3y = 7

• 5x + 3y = 7(4)

• 5x + 3y = 7

• 5x + 3(4) = 7

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Look for an equation that is solved for a variable:

  x=

  y=

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

Solve the system of linear equations by substitution.

• y = -22

• x = -3

• x = 59/25

• y = 15.6

• x = 3

• y = 22

• x = -8

• y = 4

What is the solution to the system of linear equations:

-3x + y = -12 and 7x - 6y = 17 ?

Use Substitution Method

Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

If x+y=14 and x-y=4 then the values of x and y are_________

• x=4 and y = 5

• x = 9 and y = 7

• x = -6 and y = 5

• x = 9 and y = 5

Which choice shows substitution correctly?

• 3x - (-6x +3) = 10

• 3(-6x + 3) - y = 10