JorgieQ377328 JorgieQ377328
  • 25-10-2022
  • Mathematics
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Which one of the equations is equivalent to the given equation? 2x + 3y = 10

Which one of the equations is equivalent to the given equation 2x 3y 10 class=

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PhyllisI606640 PhyllisI606640
  • 25-10-2022
[tex]2x+3y=10[/tex]

To find the equation equivalent you solve for y:

1. Substract 2x in both sides of the equation:

[tex]\begin{gathered} 2x-2x+3y=-2x+10 \\ \\ 3y=-2x+10 \end{gathered}[/tex]

2. Divide into 3 both sides of the eqaution:

[tex]\begin{gathered} \frac{3}{3}y=-\frac{2x}{3}+\frac{10}{3} \\ \\ \\ y=-\frac{2}{3}x+\frac{10}{3} \end{gathered}[/tex]

Then, the given equation is equivalent to the equation in 4th option (y=-2/3x+10/3)
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