Download Substitution Day 2 .notebook

Substitution Day 2 .notebook
February 27, 2017
Intersecting lines
Parallel lines Systems of Linear Equation Check
Slope Solution Lines graphed on top of each other
Y­intercept An ordered pair that satisfies the system of equations
A system of linear equations that have ONE solution
Substituting the solution in a system to prove that it is correct A system of linear equations that have NO solution
Rise over run
Consists of two or more linear equations in the same two variables
A system of equations that have INFINITE Solutions and have the same slope and the same y­intercept
The location where a line touches the y axis
Substitution Day 2 .notebook
February 27, 2017
Objective: Continue solving systems of equations using
the substitution method.
Solve the following system of equations using
substitution:
x=3+y
2y = 4x + 2
Substitution Day 2
Let's review from yesterday:
STEPS:
1) Get one equation into y = or x = form.
2) Substitute into the second equation and
solve for the variable.
3) Plug in the # found into the easier equation
and solve for the 2nd variable.
4) Check in both originals.
Substitution Day 2 .notebook
February 27, 2017
Examples!
Solve the following systems of equations using
substitution:
1) 4x + 6y = 4
x ­ 2y = ­6
2) 2x + y = 7
y + 3x = 6
Substitution Day 2 .notebook
February 27, 2017
Solve the following systems of equations using
substitution:
3) 7x = y + 10
y ­ 5x = 12
4) 6x + 4y = 13
x­y=3
Substitution Day 2 .notebook
5) ­8x + 2y = 8
2x + 2y = 28
February 27, 2017