SOLUTION: it is about matrices and determinants i need to find the value of x in the system of equations 2x+y -4 =0;3x +(5/2)y-10=0 using cramers rule.

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Question 119687: it is about matrices and determinants i need to find the value of x in the system of equations 2x+y -4 =0;3x +(5/2)y-10=0 using cramers rule.
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2By-4=0
3x%2B%285%2F2%29y-10=0
or changing the equations, you get,
2x%2By=4
3x%2B%285%2F2%29y=10
or in matrix form
%28matrix%282%2C2%2C2%2C1%2C3%2C5%2F2%29%29%28matrix%282%2C1%2Cx%2Cy%29%29=%28matrix%282%2C1%2C4%2C10%29%29
According to Cramer's rule, then
x=abs%28matrix%282%2C2%2C4%2C1%2C10%2C5%2F2%29%29%2Fabs%28matrix%282%2C2%2C2%2C1%2C3%2C5%2F2%29%29
y=abs%28matrix%282%2C2%2C2%2C4%2C3%2C10%29%29%2Fabs%28matrix%282%2C2%2C2%2C1%2C3%2C5%2F2%29%29
abs%28matrix%282%2C2%2C4%2C1%2C10%2C5%2F2%29%29=4%285%2F2%29-1%2810%29=0
abs%28matrix%282%2C2%2C2%2C4%2C3%2C10%29%29=2%2810%29-4%283%29=8
abs%28matrix%282%2C2%2C2%2C1%2C3%2C5%2F2%29%29=2%285%2F2%29-3%281%29=2
x=0%2F2=0
y=8%2F2=4
Check your answers.
2x%2By-4=0
2%280%29%2B4-4=0
0=0
True statement.
3x%2B%285%2F2%29y-10=0
3%280%29%2B%285%2F2%29%284%29-10=0
10-10=0
0=0
True statement.
Good asnwers.