SOLUTION: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x +

Algebra ->  Absolute-value -> SOLUTION: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x +       Log On


   

Question 26306: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x + 2y = 7
y=-5x+3
Please help me.
Thank you very much.
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++10%5Cx+%2B+2%5Cy+=+7%2C%0D%0A++++5%5Cx+%2B+1%5Cy+=+3+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
10%2Ax+=+7+-+2%2Ay, or x+=+7%2F10+-+2%2Ay%2F10. Substitute that
into another equation:
5%2A%287%2F10+-+2%2Ay%2F10%29+%2B+1%5Cy+=+3 and simplify: So, we know that y=1/2=0. Since x+=+7%2F10+-+2%2Ay%2F10, x=0.5.

Answer: system%28+x=0.5%2C+y=1%2F2=0+%29.

OR

Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++10%5Cx+%2B+2%5Cy+=+7%2C%0D%0A++++5%5Cx+%2B+1%5Cy+=+3+%29%0D%0A++

Any system of equations:


has solution


Hope this helps!