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

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I will show you how to apply it:
for:
ax+by=e
cx+dy=f
We will have Cramer's rule giving us:

and

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: Any system of equations: has solution or (x=3.66666666666667, y=0.666666666666667}