Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Solving an Equation by Graphing
Graphing Linear Inequalities in 2 Variables
100
Solve the system of linear equations by graphing.
y = -2x + 5
y = 4x - 1
(1, 3)
100
Using substitution, solve for x.
y = -3
4x - 3y = 21
x = 3
100
Using elimination, solve for x.
x - y = 11
2x + y = 19
x = 10
100
Solve
-x + 1 = 2x - 5
x = 2
100
Graph
y ≤ 2
200
Solve the system of linear equations by graphing.
Y = ½x + 3
Y =-3/2x - 5
(-4, 1)
200
Using substitution, solve for x.
y = -5
-3x - 3y = 30
x = -5
200
Using elimination, solve for y.
-4x - 2y = -12
4x + 8y = -24
y = -6
200
Sole the equation by graphing
-4 + 9x = -3x + 2
x = 1/2
200
Graph
y > x + 5
300
Solve the system of linear equations by graphing.
2x + y = 5
3x - 2y = 4
(2, 1)
300
Using substitution, solve for x.
y = 0
3x - 8y = 24
x = 8
300
Using elimination, solve for y.
4x - 9y = -21
-4x - 3y = 9
y = 1
300
-6(x + 4) = -3x - 6
x = -6
300
Tell whether the ordered pair is a solution of the inequality.
x+ y > 0
(-2, 2)
No, (-2, 2) is a solution.
400
Tell whether the ordered pair (2, 5) is a solution to the system of linear equations.
x + y = 7
2x - 3y = -11
Yes, (2, 5) is a solution to the system of linear equations.
400
Using substitution, solve for y.
x = 7
-3x - 3y = -15
y = -2
400
Using elimination, solve for x.
7x + 2y = 24
8x + 2y =30
x = 6
400
Solve the equation by graphing. (Hint you should have 2 answers)
l x + 2 l = l -3x + 6 l
x = 1
x = 4
400
Tell whether the ordered pair is a solution of the inequality.
-x -6y > 12
(-8, 2)
No (-8, 2) is not a solution.
500
Tell whether the ordered pair (1, 2) is a solution to the system of linear equations.
2x + y = 0
-x + 2y = 5
No, (1, 2) is not a solution to the system of linear equations
500
Solve the system using substitution.
2x - 3y = -1
y = x - 1
(4, 3)
500
Solve using elimination. (Answer should be (x,y)
-7x + y = -19
-2x + 3y = -19
(2, -5)
500
Solve the equation by graphing. (Hint you should have 2 answers)
l 2x + 5 l = l -2x + 1 l
x = -1
Other equation: No solution
500
Tell whether the ordered pair is a solution of the inequality.
-4x -8y < 15
(-6, 3)
Yes, (-6, 3) is a solution