SOLUTION: Solve using Cramer's Rule Solve for x and y: x + 2y = 5 x - y = 3

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve using Cramer's Rule Solve for x and y: x + 2y = 5 x - y = 3       Log On


   

Question 163240: Solve using Cramer's Rule Solve for x and y:
x + 2y = 5
x - y = 3

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
I will show you how to apply it:
for:
ax+by=e
cx+dy=f
We will have Cramer's rule giving us:
x=%28ed-bf%29%2F%28ad-bc%29
and
y=%28af-ec%29%2F%28ad-bc%29
So, just plug in the numbers for the problem we're interested in. Namely, a=1, b=2, c=1, d=-1, e=5, f=3.
The process is done automatically by this web site:

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

Any system of equations:


has solution

or



(x=3.66666666666667, y=0.666666666666667}