Download 2017-2-28 systems substitution day 1.notebook

2017­2­28 systems substitution day 1.notebook
Today is Tues
2/28
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-Systems Substitution W.S.
HW Answers
February 28, 2017
2017­2­28 systems substitution day 1.notebook
February 28, 2017
2017­2­28 systems substitution day 1.notebook
February 28, 2017
Today's Objective: Solving a system of
linear equations by substitution.
Can you find the
solution?
What is the exact
location?
2017­2­28 systems substitution day 1.notebook
y = 10
February 28, 2017
Can you find x?
x + y = 35
Can you write these two values as an ordered
pair?
Steps to solving a system of equations by substitution:
Step 1: Look for the equation that has x = or y = .
Step 2: Substitute the expression for this variable into the
2nd equation, solve for the 2nd variable.
Step 3: Substitute the value from step 2 in one of the
original equations and solve for the 2nd variable.
Step 4: Write the solution as an ordered pair (x, y) and
check!
2017­2­28 systems substitution day 1.notebook
February 28, 2017
Steps to solving a system of equations by substitution:
{
y = 2x +4
x + y = 16
Check solution:
Solve the following system of equations by substitution:
{
Check solution:
x=1+y
x + 3y = -15
2017­2­28 systems substitution day 1.notebook
February 28, 2017
Solve the following system of equations by substitution:
{
x = 2y + 3
y + 2x = 26
Check solution:
Solve the following system of equations by substitution:
{
Check solution:
y = 7x - 2
y = 5x + 4
2017­2­28 systems substitution day 1.notebook
February 28, 2017
Solve the following system of equations by substitution:
y = 5x ­ 2
x = 4y ­ 1
4x + 3y = 13
y + 2x = 16 Solve the following system of equations by substitution:
y = 2x ­ 4
x = 2y + 7
7x ­ 2y = 5
3x ­ 2y = 3
2017­2­28 systems substitution day 1.notebook
February 28, 2017
Recap: How do we solve a system by Substitution?
Step 1: Look for the equation that has x = or y = .
Step 2: Substitute the expression from step 1 into the other
equation and solve for the other variable.
Step 3: Substitute the value from step 2 into one of the
original equations to find the other variable.