biubiu27893 biubiu27893
  • 09-01-2024
  • Mathematics
contestada

2x – y = (3/4)x + 6
I'm looking for x

Respuesta :

Mickeym175
Mickeym175 Mickeym175
  • 09-01-2024

Answer:

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

Step-by-step explanation:

[tex]2x-y=\frac{3}{4} x+6[/tex]

We have to isolate x on one side

Subtract 3/4x on both sides

[tex]\frac{5}{4} x-y=6[/tex]

Add y to both sides

[tex]\frac{5}{4} x=6+y[/tex]

Multiply both sides by 4

[tex]5x=24+4y[/tex]

Divide both sides by 5

[tex]x=\frac{24}{5} +\frac{4}{5} y[/tex]

Simplify

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

I hope this helps

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