5x=3(1-y) 3x+2y=-1

Question

Solve each system 

Answer 1

(9,-14) is the solution.  I chose the substitution method to solve this.  Using the first equation, I divided both sides by 5 to get x=2/5(1-y).  I pluged this into the second equation, and eliminated the x variable leaving one equation, one unknown.  3[3/5(1-y)]+2y=-1.  I multiplied both sides of this equation by 5 to get rid of the fraction.  This result was 9(1-y)+10y=-5.  Using the distributive property, 9-9y+10y=-5.  Combing like terms, 9+y=-5.  Subtracting 9 from both sides of the equation gives y=-14.  Plugging this value into the original eqiation for x gives x=3/5(1-(-14)), x=9.  The solution is (9,-14)  If I plug the answer into the original equation, it makes both equations true, so it is correct.