Vocabulary
Solving by Graphing
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.
ordered pair or solution
100
y = 4 y = -7x -3
(-1, 4)
100
Solve by substitution: y=4 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
Solve by substitution: x= y + 2 3x + 5y = -10
(0 ,-2)
200
Solve the system of equations: 2x+3y=-16 ..............................................3x=-21
(-7,-2)
300
In a system of equations, this is the best method to use when one of the equations is isolated. ......................Graphing or substitution?
substitution method.
300
y = 1/3x - 4.................. y = -7/3x + 4
(3, -3)
300
x = 3 -3x + y = -18
(3 , -9)
300
Use substitution to solve: y = x - 2 3y - 2x = 1
(7, 5)
300
Rearrange the equation for y: -y - 4 = 6 + 2x
y = -10 - 2x
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: x = - 3 y = 2x + 4
(-3, -2)
400
Show the first step for substitution into the second equation: x= 4 - y 3x + 4y = 10
3(4 - y) +4y = 10
400
Isolate the variable that would be best for substitution: -2y=18 3x + 2y = 12
The best variable would be y =-9
500
I use o__________ o___________ to solve for variables in an equation.
opposite operations
500
y=-2/3x + 4 y= -2/3x - 3
no solution
500
Solve: 2x - 3y = 9 y = 7
( 15, 7)
500
Show the first step for substitution into the second equation: y= 5 - x -4x + 4y = 10
-4x+ 4(5 - x) = 10
500
Isolate the variable and solve this system: 3x = 24 2x-3y=-8
What is (8, 8)
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