SOLUTION: Solve the system by substitution. x + 2y = –17 –2x + 3y = –15 Solve the system by addition. –2x + 5y = –19 x – 3y = 10

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Solve the system by substitution. x + 2y = –17 –2x + 3y = –15 Solve the system by addition. –2x + 5y = –19 x – 3y = 10       Log On

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Question 123547: Solve the system by substitution.
x + 2y = –17
–2x + 3y = –15
Solve the system by addition.
–2x + 5y = –19
x – 3y = 10

Answer by rajagopalan(148) About Me  (Show Source):
You can put this solution on YOUR website!
x + 2y = –17
–2x + 3y = –15
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+2%5Cy+=+-17%2C%0D%0A++++-2%5Cx+%2B+3%5Cy+=+-15+%29%0D%0A++

Any system of equations:
+system%28+%0D%0A++++a%5B11%5D%2Ax+%2B+a%5B12%5D%2Ay+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Ax+%2B+a%5B22%5D%2Ay+=+b%5B2%5D%29%0D%0A++

has solution
+system%28+%0D%0A++++x+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++y+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++
or

+system%28+%0D%0A++++++x+=+%28-17%2A3+-+-15%2A2%29%2F%281%2A3--2%2A2%29+=+-3%2C%0D%0A++++++y+=+%281%2A-15+-+-2%2A-17%29%2F%281%2A3--2%2A2%29+=+-7%0D%0A++++%29%0D%0A++

(x=-3, y=-7}