Solving Systems of Equations 2021
What is the solution of the linear system of equations?
Use (x,y) format to enter
your solution
What is the solution of the linear system?
​Use (x,y) format to enter
your solution
What is the solution of the linear system?

​Use (x,y) format to enter
your solution
What is the solution of the linear system?
What does x =?
What does y=?
Solve the linear system by using substituion.
2x+y=8
y=x-7
Use (x,y) format to enter your solution
What is the solution of the linear system?
What does x equal?
Solve the linear system by substitution.
y=x+6
2x+y=-9
What does y equal?
Use (x,y) format to enter your solution
Follow the steps to solve the system by elimination.
2x-3y=14
2x+y=-10
Use your answer to find x.
What does x equal?
What does y equal ?
What is the solution of the system?
Use (x,y) format to enter your solution
What is the solution of the linear system?
What does y equal?
What does x equal?
Solve the system by elimination.
7x-4y=-30
3x+4y=10
Use (x,y) format to enter your solution
y=2x-2
y=-2x+6
Graph the linear system and find the solution.
What is the solution of the linear system?
Solution must be in (x,y) format.
Solve the linear system by  addition elimination.
x+y=-4
-x+2y=13
What is the solution of the linear system?
What  does y equal?
What does x equal?
​Use (x,y) format to enter
your solution

Solve the linear system by elimination.

x-2y=6
4x+2y=14

What is the solution of the linear system?
What  does x equal?
What does y equal?
​Use (x,y) format to enter
your solution
Solve the linear system by any method you like.
2x+5y=1
2x-y=19
​Use (x,y) format to enter
your solution
What is the solution of the linear system?
What  does y equal?
What does x equal?
Use Parentheses for your
ordered pair!
Solve the linear system by  the method you think
is easiest.

x+6y=28
2x-3y=-19
What does x equal?
What is the solution of the linear system?
What  does y equal?
Use the format (x,y) as your solution
y = 2x + 4
y = 5x - 1
Exactly 1
Exactly 2
Infinitely many
No solutions
How many solutions does each system have?
Exactly 1
Exactly 2
Infinitely many
No solutions
x - 2y = 4y = 1/2x - 2
Which is true about a system with no solutions?
Choose all that apply.
Different slopes
Same slope
Same y-intercept
Different y-intercept
If graphed, the lines are parallel
Which is true about a solution with exactly one solution?  Choose all that apply.
Different Slopes
Same slopes, different y-int
Same slopes, same y-int
 The lines intersect in exactly one point.
Is (3,2) a solution to this system?

*plug 3 in for x and 2 for y in each equation.  If both 
equations are "true" (the left side equals the right side),
then your answer is  yes.  If either or both of the equations
is "false", then your answer is no.
y = 5x - 13
2x + 4y = 14
3x - y = 7
y = -2x + 4
Type yes or no.
y = 3x - 7
y = -x + 5
Which set of lines would have exactly onesolution?  Choose all that apply.
a pair of horizontal lines
one vertical and one horizontal line
a pair of perpendicular lines
a pair of parallel lines
a pair of vertical lines
This is his work:
What is the solution?
Travis decided to solve the following system by
substitution:
y = -2x + 4
2x + y = 3
2x + (-2x + 4) = 3
(4, 3)
Infinitely many
No solution
(3, 4)
4 = 3
When using substitution to solve:

            y = 3x - 6            y = x + 3
what is the first step?
Substituting 3x - 6 for y in the equation y = 3x - 6
Substituting x + 3 for y in the equation y = x + 3
Substituting 3x - 6 for x in the equation y = x + 3
Substituting x + 3 for y in the equation y = 3x - 6
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