SOLUTION: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). 2x + 5y = 2 -3x - y = -3 Solve this system of equations using substitutio

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). 2x + 5y = 2 -3x - y = -3 Solve this system of equations using substitutio      Log On


   



Question 411059: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
2x + 5y = 2
-3x - y = -3
Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
8x - y = 31
5x + 3y = 23
Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
2x + 6y = 24
5x - 2y = 9

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2x+%2B+5y+=+2
-3x+-+y+=+-3
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+5%5Cy+=+2%2C%0D%0A++++-3%5Cx+%2B+-1%5Cy+=+-3+%29%0D%0A++We'll use substitution. After moving 5*y to the right, we get:
2%2Ax+=+2+-+5%2Ay, or x+=+2%2F2+-+5%2Ay%2F2. Substitute that
into another equation:
-3%2A%282%2F2+-+5%2Ay%2F2%29+%2B+-1%5Cy+=+-3 and simplify: So, we know that y=0. Since x+=+2%2F2+-+5%2Ay%2F2, x=1.

Answer: system%28+x=1%2C+y=0+%29.


(1, 0)
8x+-y+=+31
5x+%2B+3y+=+23
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++8%5Cx+%2B+-1%5Cy+=+31%2C%0D%0A++++5%5Cx+%2B+3%5Cy+=+23+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
8%2Ax+=+31+-+-1%2Ay, or x+=+31%2F8+-+-1%2Ay%2F8. Substitute that
into another equation:
5%2A%2831%2F8+-+-1%2Ay%2F8%29+%2B+3%5Cy+=+23 and simplify: So, we know that y=1. Since x+=+31%2F8+-+-1%2Ay%2F8, x=4.

Answer: system%28+x=4%2C+y=1+%29.


(4, 1)
2x+%2B+6y+=+24
5x+-+2y+=+9
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+6%5Cy+=+24%2C%0D%0A++++5%5Cx+%2B+-2%5Cy+=+9+%29%0D%0A++We'll use substitution. After moving 6*y to the right, we get:
2%2Ax+=+24+-+6%2Ay, or x+=+24%2F2+-+6%2Ay%2F2. Substitute that
into another equation:
5%2A%2824%2F2+-+6%2Ay%2F2%29+%2B+-2%5Cy+=+9 and simplify: So, we know that y=3. Since x+=+24%2F2+-+6%2Ay%2F2, x=3.

Answer: system%28+x=3%2C+y=3+%29.



(3, 3)