Solve System by Substitution

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What does it mean to "solve a system"?

• Find the point that satisfies one of the equations.

• Find the point that satisfies all of the equations.

• Rewrite the equations in "y=" form.

• Rewrite the equations in standard form.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.A.1

CCSS.HSA.REI.C.6

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What method would you use to solve the following system of equations?

• solve for y

• Substitution, because there is an equation with an isolated variable

• Elimination with addition

• Elimination with multiplication

• elimination with subtraction

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Because the first equation is solved for y, we will use substitution.

Which of the following represents the correct equation when you substitute y into the equation?

Tags

CCSS.8.EE.C.7

CCSS.8.EE.C.8

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Tags

CCSS.HSA.REI.C.6

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11