Solve Systems Using Substitution

7. Solve the system of equations using substitution method: 4x + y = 23, y - x = 3

• x = 3, y = 6

• x = 4, y = 7

• x = 6, y = 9

• x = 5, y = 8

Determine the values of x and y by using substitution method for the system of equations: 6x + 2y = 44, y = 3x - 2

• x = 8, y = 20

• x = 5, y = 12

• x = 2, y = 6

• x = 4, y = 10

10. Solve the following system of equations using substitution method: 3x + 2y = 29, y = 2x - 3

• x = 2, y = 5

• x = 6, y = 8

• x = 5, y = 7

• x = 3, y = 4

Solve this system of equations:
2x + 2y = 12
y = 2x

• (2, 2)

• (3, 6)

• (4, 2)

• (2, 4)

Solve this system using substitution:
3x + 4y = 15
y = 3

• (3, 1)

• (4, 3)

• (3, 4)

• (1, 3)

Jess correctly graphs a system of equations on her calculator but sees only one line as a result. What does this mean?

• The system has one solution

• The system has no solutions

• The system has infinite solutions

• The calculator's broken

Which of the following could be a first step when solving using substitution for the given system of equations?

Given the following sytem of linear equations, If I solved the second equation for x, which would be correct steps for solving the system using substitution?

What is the initial step when using the Substitution method to solve a system of equations?

• Ensure both equations are in point-slope form.

• Ensure one equation is isolated for a variable.

• Ensure both equations are in standard form.

• Student C

• Student D

• Neither student made the correct substitution