EnsleeX123714 EnsleeX123714
  • 03-11-2022
  • Mathematics
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what is the X coordinate to the solution of y =6x+9y = 12x -15?

what is the X coordinate to the solution of y 6x9y 12x 15 class=

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OdinA529329 OdinA529329
  • 03-11-2022

ANSWER:

The value of x is 4

STEP-BY-STEP EXPLANATION:

We have the following system of equations

[tex]\begin{gathered} y=6x+9 \\ y=12x-15 \end{gathered}[/tex]

Now, we solve the system by means of the equalization method

[tex]\begin{gathered} 6x+9=12x-15 \\ \end{gathered}[/tex]

solving for x

[tex]\begin{gathered} 12x-6x=9+15 \\ 6x=24 \\ x=\frac{24}{6} \\ x=4 \end{gathered}[/tex]

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