Exercise Set 1.2: Linear Systems - Substitution Method
Solve the following systems of linear equations by using the substitution method. If there are infinitely many solutions, give your answer in the form ( x , f ( x )) , where f ( x ) represents the equation of the line in the form f ( x ) = mx + b . 1.
2 x − 7 y = −6 x = 5y
2.
2 x + 3 y = −12 y = −2 x
3.
3 x − 2 y = −5 2 x + y = 13
4.
5 x − 7 y = −4 x − 4y = 7
5.
2 x + y = 10 6 x + 3 y = 30
6.
7.
15 x + 3 y = −1 5x + y = 4 x − 3y = 3 2 x + 9 y = 11
8.
y − 2 = 3x 9 x − 3 y = −6
9.
5 x − 4 y = −5 3 x + y = 14
10.
x + 4y + 2 = 0 −2 x + 12 y = 9
11.
−2 x + y − 5 = 0 −6 x + 3 y = 21
12.
y − 7 = 2x 4 x + 3 y = 31
