Question

Solve this system of equations-2x + 5y = -4-5x-3y = -10X = ?Y = ?

Answer 1

Given

system of equations

-2x + 5y = -4 and -5x-3y = -10

Find

The value of x and y

Step-by-step 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

`\begin{gathered} -6x+15y=-12 \\ -25x-15y=-50 \end{gathered}`

now add both equation

`\begin{gathered} -6x+15y-25x-15y=-12-50 \\ -31x=-62 \\ x=2 \end{gathered}`

now put the value of x in one of the equation to obtain y .

`\begin{gathered} -4+5y=-4 \\ y=0 \end{gathered}`

Final Answer

The value of x =2 and y = 0