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1. Solve the following equation for x: 2x + 5y = 8.

A. x = 5 over 2y +4
B. x = -5 over 2y -4
C. x = 5 over 2y -4
D. x = -5 over 2y +4

Respuesta :

Answer:

D. [tex]x = \frac{-5}{2} + 4[/tex]

Step-by-step explanation:

[tex]2x + 5y = 8\\[/tex]

Subtract 5y from both sides

[tex]2x = -5y +8[/tex]

Divide both sides by 2

[tex]x = \frac{-5}{2} + 4[/tex]

Hope this helps!

Answer:

The correct option is D) [tex]x=\frac{-5y}{2}+4[/tex]

Step-by-step explanation:

Consider the provided equation.

[tex]2x+5y=8[/tex]

We need to solve the provided equation for x.

Subtract 5y from both side.

[tex]2x+5y-5y=8-5y[/tex]

[tex]2x=8-5y[/tex]

Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{8-5y}{2}[/tex]

[tex]x=\frac{8-5y}{2}[/tex]

[tex]x=\frac{-5y+8}{2}[/tex]

[tex]x=\frac{-5y}{2}+4[/tex]

Hence, the value of the equation is [tex]x=\frac{-5y}{2}+4[/tex]

Thus, the correct option is D) [tex]x=\frac{-5y}{2}+4[/tex]

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