Unit F Part 1 Day 2 Solve Linear Systems by Substitution
D. i. R. T.
Solve the following system of equations by graphing.
y = 5x ­ 2
y = (1/2)x ­ 2
Solve for x: 3(x ­ 4) = 5x + 2
Solve for x in the following equation if y = 2
2x + 3y = 4
Wehrle: 02/22/2016
1
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Unit F Day 2
Objective: Solve Systems of Linear Equations by Substitution
To Solve using Substitution. (ALWAYS WORKS)
ex 1)
y = 2x + 3
x + y = 12
x + (2x +3) = 12
3x + 3 = 12
y=2( ) +3
* Solve for one variable.
* Plug the expression into the SECOND equation.
* Solve for the remaining variable.
* Plug that solution in to solve for the remaining variable.
Remember to write your solution as an ordered pair.
Wehrle: 02/22/2016
2
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Solve using substitution.
ex 2)
y = -2x + 1
2x - 2y = 4
Wehrle: 02/22/2016
3
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Solve the following system of equations by substitution.
ex 3) x = -2y + 5
5x - 4y = -3
Wehrle: 02/22/2016
4
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Solve the following system of equations by substitution.
ex 4)
-3x +3y = 18
y - 6x = 21
Wehrle: 02/22/2016
5
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
For what values of x and y is the following system of equations
true.
ex 5) y -2x = - 10
2x - 2y = 38
Wehrle: 02/22/2016
6
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
For what values of x and y is the following system of equations true.
ex 6) 4x - 2y = 6
x-y=9
Wehrle: 02/22/2016
7
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
ex 7)
Solve the system of equations using substitution
2x + 6y = 2
-3x - 3y = -15
Wehrle: 02/22/2016
8
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Wehrle: 02/22/2016
9
Unit F Part 1 Day 2 Solve Linear Systems by Substitution
Wehrle: 02/22/2016
10