greedysandwhich20341 greedysandwhich20341
  • 20-04-2021
  • Mathematics
contestada

Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasoning.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 22-04-2021

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

Open bracket

[tex]14x - 2x + 3 = 15x + 27[/tex]

Collect like terms

[tex]14x - 2x -15x = -3 + 27[/tex]

[tex]-3x = 24[/tex]

Divide by -3

[tex]x = \frac{24}{-3}[/tex]

[tex]x = -8[/tex]

Both solutions are correct

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