Linear Equations with Substitution

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

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)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)

• (12, -34)

• (4, -18)

• (-2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of linear equations by substitution.

5x + 2y = 9

x + y = -3

​ ​ ​ (a)   ​ (b)  

• y = -22

• x = -3

• x = 1

• y = -4

• x = 5

• y = -8

• x = -8

• y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the value of (x, y) that satisfies the equations by solving the system using substitution.
 
5x + 4y= −14
y =  −7x  −  15  The solution is (a)   .

• (-2, -1)

• (0, 0)

• (1, 1)

• (2, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of linear equations by substitution.

-5x + 3y = 51

y = 10x - 8​

​ ​ ​ (a)   ​ (b)  

• y = -22

• x = -3

• x = 59/25

• y = 15.6

• x = 3

• y = 22

• x = -8

• y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution to the system of equations x + 2y = 2 and x = -4y + 2 is (a)   .

• (2, 0)

• (0, 2)

• (1, 1)

• (-2, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

solve by substitution: y=3x+14
y=-4x

• y=3

• y=1

• y= - 2

• y=4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution to the system of equations y = -2x + 5 and y = 2x - 11 is (a)   .

• (4, -3)

• (3, 4)

• (2, 5)

• (1, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6