Question

You must do this one by hand. No desmos!!! Find the solution to the following system of equations:

Answer 1

Given

The equations are given

`\begin{gathered} -5x+y=-5\ldots\ldots\ldots\ldots1 \\ -4x+2y=2\ldots\ldots\ldots\ldots\ldots\text{.}.2 \end{gathered}`

Step-by-step explanation

To determine the coordinates of x and y by elimination method.

Divide equation 2 by 2.

`\begin{gathered} -(4x)/(2)+(2y)/(2)=(2)/(2) \\ -2x+y=1\ldots\ldots\ldots\ldots..3 \end{gathered}`

Now subtract equation 1 by 3,

`\begin{gathered} (-5x+y+5)-(-2x+y-1)=0 \\ -5x+y+5+2x-y+1=0 \\ -3x+6=0 \\ x=2 \end{gathered}`

Substitute the value of x in the equation 1.

`\begin{gathered} -5*2+y=-5 \\ -10+y=-5 \\ y=5 \end{gathered}`

Answer

The solution of the system of equations is

`(2,5)`

The correct option is A.