SOLUTION: Solve and then check the system of equations by substitution method. SHOW ALL WORK STEP BY STEP! 4a+7b=2 5a+b=-13

Question 969444: Solve and then check the system of equations by substitution method. SHOW ALL WORK STEP BY STEP!
4a+7b=2
5a+b=-13
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39629) (Show Source): You can put this solution on YOUR website!

substitution:

Now find value for a.

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

Solve and then check the system of equations by substitution method. SHOW ALL WORK STEP BY STEP!
4a+7b=2
5a+b=-13

4a + 7b = 2 -------- eq (i)
5a + b = - 13______ -------- eq (ii)
4a + 7(- 13 - 5a) = 2 ------ Substituting - 13 - 5a for b in eq (i)
4a - 91 - 35a = 2
4a - 35a = 2 + 91
- 31a = 93

Substitute for a in eq (i) or eq (ii) to determine value of b
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