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Kitty [74]
3 years ago
13

The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang

le?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26
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What is the solution to the system of equations below?
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Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

y=-6x-10

y=-3x-21

solving the system of the equations

Arrange the equation variables for elimination

\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}

y+3x=-21

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\underline{y+6x=-10}

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\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}

solve

-3x=-11

Divide both sides by -3

\frac{-3x}{-3}=\frac{-11}{-3}

x=\frac{11}{3}

\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}

y+6\cdot \frac{11}{3}=-10

y+6\cdot \frac{11}{3}=-10

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Therefore, the solutions to the system of the equations are:

y=-32,\:x=\frac{11}{3}

But, it seems none of the options is true.

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