Solving Algebraic Equations Using Substitution

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve using Substitution Method

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

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

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Based on the equations for each line, determine how many solutions the system would have.

y = 2x + 3

y = -4x + 3

• Infinite Number of Solutions

• No Solution

• One Solution

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

Tags

A.4de

Which is the best algebraic method to use?

y = 6x − 11

−2x − 3y = −7

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Tags

A.4de

y = 6x - 11

-2x - 3y = -7

Tags

A.4de