Answered

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

You Must Do This One By Hand No Desmos Find The Solution To The Following System Of Equations class=

Sagot :

Given

The equations are given

[tex]\begin{gathered} -5x+y=-5\ldots\ldots\ldots\ldots1 \\ -4x+2y=2\ldots\ldots\ldots\ldots\ldots\text{.}.2 \end{gathered}[/tex]

Explanation

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

Divide equation 2 by 2.

[tex]\begin{gathered} -\frac{4x}{2}+\frac{2y}{2}=\frac{2}{2} \\ -2x+y=1\ldots\ldots\ldots\ldots..3 \end{gathered}[/tex]

Now subtract equation 1 by 3,

[tex]\begin{gathered} (-5x+y+5)-(-2x+y-1)=0 \\ -5x+y+5+2x-y+1=0 \\ -3x+6=0 \\ x=2 \end{gathered}[/tex]

Substitute the value of x in the equation 1.

[tex]\begin{gathered} -5\times2+y=-5 \\ -10+y=-5 \\ y=5 \end{gathered}[/tex]

Answer

The solution of the system of equations is

[tex](2,5)[/tex]

The correct option is A.

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