Systems - Substitution

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to the following system?

^{x - y = 6}

^{x = 11}

• (11, 5)

• (55, 5)

• (11, 11)

• (5, 55)

Tags

CCSS.HSA.REI.C.6

What is the solution to the following system?

^{y = 3x}

^{12x - 4y = 20}

• (0, 0)

• no solutions

• (0, 20)

• infinite solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to the following system?

^{x = 4y}

^{x - 4y = 0}

• (0, 0)

• no solutions

• infinite solutions

• (4, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

y = 2x + 1
3x + y = 16

• x = 3
• (2, 7)
• (3, 5)
• (3, 7)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

y = 5x + 1
y = 3x + 13

• (6, 31)
• (31, 6)
• (4, 21)
• (2, 11)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

y = 3x - 1
2x + 2y = 22

• (2, 5)
• (3, 8)
• (4, 11)
• (5, 14)

Tags

CCSS.HSA.REI.C.6

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

• no solution
• infinite solutions
• (0 , 0)
• (2 , 2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.HSA.REI.C.6