Question 58564
use cramer's rule to solve the given system:
2x+4y=14
4x+3y=18
First find the determinant:
2 4
4 3
{{{d=2*3-4*4}}}
{{{d=6-16}}}
{{{highlight(d=-10)}}}
1/d=-1/10
Now replace the x's with the answers.  Do the same thing we did to find the determinant and multiply the answer by 1/d=-1/10
14 4
18 3
{{{x=(-1/10)(14*3-18*4)}}}
{{{x=(-1/10)(42-72)}}}
{{{x=(-1/10)(-30)}}}
{{{x=30/10}}}
{{{highlight(x=3)}}}
Now replace the y's with the answers and do the same thing you did to get the x.
2 14
4 18
{{{y=(-1/10)(2*18-4*14)}}}
{{{y=(-1/10)(36-56)}}}
{{{y=(-1/10)(-20)}}}
{{{y=20/10}}}
{{{highlight(y=2)}}}
The solutiong is: (x,y)=(3,2)
Happy Calculating!!!