Soe by Substitution

Consider the equations: y=5x+3and y=-2x-4

Solve the system by substitution.

• (2,-1)

• (-1,-2)

• (1,-2)

• (-2,-1)

Consider the equations: y = 8x + 2and y = -x - 7

Solve the system by substitution.

• (1, 10)

• (-1, -6)

• (2, 7)

• (9, 9)

Solve the system by substitution

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of equations by the substitution method

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Which choice shows substitution correctly?

• 3x + (2x + 3) = 20

• 3x + 2y(2x + 3) = 20

• 3x + 2 (2x + 3) = 20

• y + 2x + 3 = 20

Solve the system of equations.

• (11, 21)

• (3, 11)

• (11, -67)

• No solution

• Infinite solutions

What is the first step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

Solve using SUBSTITUTION METHOD:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the system of equations using substitution:
2x + 3y = -5
x = y + 5

• (-4, 1)

• (2, -3)

• (6, 1)

• (8, 3)

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)