System of linear equations in two variables by substitution

Substitution is

• a method used to solve linear equations

• A method for solving a system of equations by replacing one variable containing the other variable.

• a method for solving a system of equations by graphing two lines to find a point of intersection

• a method for solving a systems of equations by adding or subtracting the equations to eliminate a variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations by substitution.

y = -4x + 5

y = 3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Solve for x and y

3x + 2y = 16

y = 19-7x

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = -2x + 18
y = 8

• (5, 8)
• (-5, 8)
• (2, 8)
• (-2, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The equations of two lines are:

2x-y=4 and y+2x= 8.

What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5