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The solution of equations system using the Substitution Method

y = 3x & 2y+2x=24 is (3,9)
true
or
false
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The solution of equations system using the Substitution Method y = 3x & 2y+2x-example-1

1 Answer

3 votes

Answer:

True

Explanation:


\begin{cases} y = 3x \\\\ 2y + 2x = 24\end{cases}

Plugging y = 3x in the equation 2y + 2x = 24, we find:

2(3x) + 2x = 24

6x + 2x = 24

8x = 24

x= 24/8

x = 3

Plugging x = 3 in the equation y = 3x we have:

y = 3*3 = 9

(x, y) = (3, 9)

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