Solving System of Equations Using Substitution Method

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

Solve this system of equations.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• x = 3

• (2, 7)

• (3, 5)

• (3, 7)

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)

• (-8, 0)

• (-16, -8)

• (-16, -8)

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

• y=3

• y=1

• y= - 2

• y=4

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

4x - y = 12

x - 5y = -16

7x - 3y = 16

-x + y = -4

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

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

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)