Solving Linear Systems by Substitution

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Solve the system of equations.

y = 4x + 1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• No solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system by Substitution. 
2x + 3y = 18
  x = 3y - 9

• (3, 4)
• (-3, 4)
• (4,3)
• (-9, 3)

Solve the system by Substitution. 
y=2x
x + y = 9

• (6, 3)
• (3, 6)
• (-3, -6)
• no solution

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

• (-4, 1)
• (2, -3)
• (6, 1)
• (8, 3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

y = x - 2
-2x + 3y = -1

• (5, -3)
• (5, 3)
• (-5, -3)
• (-5, 3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

^{What is the solution? (Where do they cross?)}

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve by graphing. (use the graphs I sent home with you)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve this system of equations by graphing. 
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.8.EE.C.8B

Solve by graphing:

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions