MATH 8 – 14.7 Solve Systems by Using Least

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MATH 8 – 14.7 Solve Systems by Using Least Common Multiple and Elimination
Solve the system of equations by elimination.
1)
2)
2x + 3y = 9
3x + 2y = 11
5x + 2y = −6
2x + 3y = 13
3)
6x − 7y = 3
4x − 5y = 1
5x + 2y = 14
4) 2x − 3y = −2
Concept Check
Circle the correct response.
Test Preparation
Circle the correct response. Show your work.
Which system is equivalent to
2x + 3y = 7
5x − 4y = 9
?
Solve the system of linear equations.
2x + 3y = 14
3x − 2y = 8
10x + 15y = 35
10x + 3y = 7
10x − 8y = 18
10x − 4y = 9
a) (4, 2)
b) (-6, 4)
c) (-2, -4)
d) (10, 6)
More Challenging
Solve the system of linear equations (hint: one of the
equations needs to be rearranged).
4x − 3y = 14
3x = 2y + 11
Mathematical Reasoning
a) Solve the system of linear equations.
3x − 6y = 14
5x − 10y = 18
b) Describe the lines.
Review
Solve the system of linear equations.
Review
Solve the system of linear equations.
x − y = −1
2x − 3y = −7
5x − 3y = 5
5x + y = 8