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what is the solution to the system of equations below 3x + 4y equals -2 2x - 4y equals -8

What Is The Solution To The System Of Equations Below 3x 4y Equals 2 2x 4y Equals 8 class=

Sagot :

Given data:

The first equation is 3x + 4y = -2 .

The second equation is 2x - 4y = -8.

Add both the equations.

[tex]\begin{gathered} (3x+4y)+(2x-4y)=-2+(-8) \\ 5x=-10 \\ x=-2 \end{gathered}[/tex]

Substitute -2 for x in the first equation.

[tex]\begin{gathered} 3(-2)+4y=-2 \\ -6+4y=-2 \\ 4y=4 \\ y=1 \end{gathered}[/tex]

Thus, the value of x is -2 and the value of y is 1, so (D) option is correct.

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