Substitution Method Practice Problems with Answers

Solve the systems of equations using the substitution method.

Problem 1:

y=3; 2x-y=7
Answer

[latex]x=5, y=3[/latex]


Problem 2:

-3x+7y=-9; x=-4
Answer

[latex]x=-4, y=-3[/latex]


Problem 3:

x=-4y-11; 2x+y=6
Answer

[latex]x=5, y=-4[/latex]


Problem 4:

x-3y=7; x=2y+2
Answer

[latex]x=-8, y=-5[/latex]


Problem 5:

2x-3y=-8; -x-7y=-13
Answer

[latex]x=-1, y=2[/latex]


Problem 6:

-3x+y=-12; 7x-6y=17
Answer

[latex]x=5, y=3[/latex]


Problem 7:

8x-y=7; -7x-2y=14
Answer

[latex]x=0, y=-7[/latex]


Problem 8:

5x-7y=-9; 4x+y=6
Answer

[latex]x=1, y=2[/latex]


Problem 9:

x-2y=1; 7x-6y=23
Answer

[latex]x=5, y=2[/latex]


Problem 10:

3x-4y=9; -x-5y=-22
Answer

[latex]x=7, y=3[/latex]


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Substitution Method

Elimination Method