SOLUTION: Goodevening!!! I have the new problems again and i beg you to answer me more clearly. I can not solve (1) 4x - y = -3 and 2x -3y = 1 (2) 2x +

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Goodevening!!! I have the new problems again and i beg you to answer me more clearly. I can not solve (1) 4x - y = -3 and 2x -3y = 1 (2) 2x +       Log On


   



Question 28824: Goodevening!!! I have the new problems again and i beg you to answer me more clearly.
I can not solve (1) 4x - y = -3 and 2x -3y = 1
(2) 2x + 4y = -12 and 3x + 5y = -14
(3) 2x - 3y = 2 and -4x + 6y = 2

how to solve ??

Your Faithfully
student E'mmaModi

Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
(1) 4x - y = -3 and 2x -3y = 1
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+-1%5Cy+=+-3%2C%0D%0A++++2%5Cx+%2B+-3%5Cy+=+1+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
4%2Ax+=+-3+-+-1%2Ay, or x+=+-3%2F4+-+-1%2Ay%2F4. Substitute that
into another equation:
2%2A%28-3%2F4+-+-1%2Ay%2F4%29+%2B+-3%5Cy+=+1 and simplify: So, we know that y=-1. Since x+=+-3%2F4+-+-1%2Ay%2F4, x=-1.

Answer: system%28+x=-1%2C+y=-1+%29.


(2) 2x + 4y = -12 and 3x + 5y = -14
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+4%5Cy+=+-12%2C%0D%0A++++3%5Cx+%2B+5%5Cy+=+-14+%29%0D%0A++We'll use substitution. After moving 4*y to the right, we get:
2%2Ax+=+-12+-+4%2Ay, or x+=+-12%2F2+-+4%2Ay%2F2. Substitute that
into another equation:
3%2A%28-12%2F2+-+4%2Ay%2F2%29+%2B+5%5Cy+=+-14 and simplify: So, we know that y=-4. Since x+=+-12%2F2+-+4%2Ay%2F2, x=2.

Answer: system%28+x=2%2C+y=-4+%29.


(3) 2x - 3y = 2 and -4x + 6y = 2
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+-3%5Cy+=+2%2C%0D%0A++++-4%5Cx+%2B+6%5Cy+=+2+%29%0D%0A++We'll use substitution. After moving -3*y to the right, we get:
2%2Ax+=+2+-+-3%2Ay, or x+=+2%2F2+-+-3%2Ay%2F2. Substitute that
into another equation:
-4%2A%282%2F2+-+-3%2Ay%2F2%29+%2B+6%5Cy+=+2 and simplify: So, we know that y=-6=0. Since x+=+2%2F2+-+-3%2Ay%2F2, x=-8.

Answer: system%28+x=-8%2C+y=-6=0+%29.



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