SOLUTION: Solve this set of linear equations using the substitution method. Be sure to show all your work. 3x – 7y = 6 2x – 3y = 1

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Question 1131307: Solve this set of linear equations using the substitution method. Be sure to show all your work.

3x – 7y = 6
2x – 3y = 1

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -7*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-1.8. Since , x=-2.2.

Answer: .

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve this set of linear equations using the substitution method. Be sure to show all your work.

3x – 7y = 6
2x – 3y = 1
3x – 7y = 6 ------- eq (i)
2x – 3y = 1 ------ eq (ii)
In order to avoid fractions, do the following:
1) Multiply the 1st equation by 2, and solve for 6x to get: 6x - 14y = 12_____6x = 12 + 14y ------ eq (iii)
2) Multiply the 2nd equation by 3 to get: 6x - 9y = 3 ------ eq (iv)
3) Substitute 12 + 14y for 6x in eq (iv) to get: 12 + 14y - 9y = 3
5y = - 9

3x - 7(- 1.8) = 6 ------ Substituting - 1.8 for y in eq (i)
3x + 12.6 = 6
3x = - 6.6

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