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Effectus [21]
3 years ago
12

Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

y = \frac{x}{36}

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * x

y = \frac{x}{36}

Hence, the equivalent in yards is \frac{x}{36}

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Solve the simultaneous equation <br> 2x-5y=9<br> 3x+4y=2
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Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}

Cancel the common factor of 2.

Divide x by 1.

x=\frac{9}{2} +\frac{5y}{2}

y=\frac{-9}{5} +\frac{2x}{5}

----------------------------------------------------------------------------------------------------------------

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Add 4y to both sides of the equation

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Divide each term in 3x=2+4y by 3.

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Cancel the common factor of 3.

Divide x by 1.

x=\frac{2}{3} +\frac{4y}{3}

y=\frac{-1}{2} +\frac{3x}{4}

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