Given
system of equations
-2x + 5y = -4 and -5x-3y = -10
Find
The value of x and y
Explanation
to find the value of x and y we use elimination method.
in this method we eliminate one of the variable and find the value of other variable.
First we have to make coefficient of one variable equal to other
so , to make y coefficient equal we multiply 1st equation by and 2nd equation by 5.
so, we obtain
[tex]\begin{gathered} -6x+15y=-12 \\ -25x-15y=-50 \end{gathered}[/tex]now add both equation
[tex]\begin{gathered} -6x+15y-25x-15y=-12-50 \\ -31x=-62 \\ x=2 \end{gathered}[/tex]now put the value of x in one of the equation to obtain y .
[tex]\begin{gathered} -4+5y=-4 \\ y=0 \end{gathered}[/tex]Final Answer
The value of x =2 and y = 0
