Vocabulary
Solving by Graphing "OR"
Equal Values Method
Solving by Substitution
Substituting an expression
Isolate a variable
100
In a system of linear equations, the location where the graphs intersect is referred to as the _____________ to the system.
What is solution or the ordered pair.
100

y = 4

y = -7x -3

(-1, 4)

100

Solve by substitution: y=8

 x-y=-4

What is (4,8)?

100
Show the first step for substitution into the second equation: 3x + 4y = 10 y = 10 + x
3x + 4(10 + x) = 10
100
What is is the best first step to solve this system of equations? 3x=12 2x-7y=14
Isolate the variable and get x=4
200
___________ are letters that represent unknown numbers or values.
What is a variable?
200

y = 1/3x - 2

y = 2x - 2

(3, 4)

200

x = -4

y - x = 10

(-4, 6)

200
Show the first step for substitution into the second equation: x= 4 - y 3x + 4y = 10
3(4-y) +4y = 10
200
Isolate the variable that would be best for substitution for this system: -2y=18 3x + 2y = 12
The best variable would be y =-9
300
In a system of equations, this is the best method to use when one of the equations is already solved for one of the variables. Graphing or substitution?
What is the substitution method.
300

y = 1/3x - 4

y = -7/3x + 4

(3, -3)

300

x = 3

-3x + y = -18

(3 , -9)

300
Show the first step for substitution for the expression into the second equation: : y= 5 - x -4x + 4y = 10
-4x+ 4(5 - x) = 10
300
Isolate the variable and solve this system: 3x = 24 2x-3y=9
What is (8, 1)
400
In Algebra _____________ means putting numbers where the letters are.
What does substitution mean ( in algebra)?
400

y=-2/3x-2

y=-8/3x+4

(3, -4)

400

Solve by substitution: 2x = - 6 

y = 2x + 4

(-3, -2)

400
Solve by substitution: x= y + 2 3x + 5y = -10
(0 ,-2)
400
Solve the system of equations: 2x+y =-16 3x=-21
(-7,-2)
500
I use __________ ___________ to solve for variables in an equation.
opposite operations
500

y=-2/3x + 4

y= -2/3x - 3

no solution

500

Solve: x - 3y = 10 

4y = -28

(-11 , -7)

500
Use substitution to solve: y = x - 2 3y - 2x = 1
(-6, -8)
500
Rearrange the equation for y: -2y - 4 = 6 + 2x
y = -5 - x
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