Question

Solve the following problem using the substitution method. Please make sure to show all of your work.

6x - 3y = 1
y = -2x - 5

Answer 1

x=-7/6, y=-8/3. (-7/6, -8/3).

Explanation:

6x-3y=1

y=-2x-5

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6x-3(-2x-5)=1

6x+6x+15=1

12x+15=1

12x=1-15

12x=-14

x=-14/12=-7/6

y=-2(-7/6)-5=7/3-5=7/3-15/3=-8/3