SOLUTION: 3x- 2y =5 2x/3 + y/2 = -7/9

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Question 227630: 3x- 2y =5
2x/3 + y/2 = -7/9
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
3x-+2y+=5 Equation A
2x%2F3+%2B+y%2F2+=+-7%2F9 Equation B

Step 1. Let's get rid of the denominators in Equation B by multiplying by 18 to both sides of the equation

18%2A2x%2F3%2B18%2Ay%2F2=18%2A%28-7%29%2F9

12x%2B9y=-14 Equation B1

Step 2. Solving Equations A and B1 leads to the following steps by substitution

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+-2%5Cy+=+5%2C%0D%0A++++12%5Cx+%2B+9%5Cy+=+-14+%29%0D%0A++We'll use substitution. After moving -2*y to the right, we get:
3%2Ax+=+5+-+-2%2Ay, or x+=+5%2F3+-+-2%2Ay%2F3. Substitute that
into another equation:
12%2A%285%2F3+-+-2%2Ay%2F3%29+%2B+9%5Cy+=+-14 and simplify: So, we know that y=-2. Since x+=+5%2F3+-+-2%2Ay%2F3, x=0.333333333333333.

Answer: system%28+x=0.333333333333333%2C+y=-2+%29.




I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV