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3 years ago

Complete the solution of the equation. fine the value of y when x equals 4.

Mathematics

2 answers:

Helen [10]3 years ago

7 0

y = - 5

substitute the value of x = 4 into the equation and solve for y

- 12 + 9y = - 57 ( add 12 to both sides )

9y = - 45 ( divide both sides by 9 )

y = $\frac{-45}{9}$ = - 5

lisov135 [29]3 years ago

5 0

-3(-4)+9y=-57

12+9y=-57

9y=-57-12

9y=-69

9y/9=69/9

y=-23/3

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ivolga24 [154]

Answer:

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Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

$MN : RS$

$NP : ST$

$PQ : TU$

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From the attachment, we have:

$MN : RS \to 18 : 30$

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To solve for x, we equate $MN : RS$ and $NP : ST$

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Express as fraction

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Make x the subject

$x = 25 * \frac{18 }{ 30 }$

$x = \frac{25 * 18 }{ 30 }$

$x = \frac{450}{ 30 }$

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To solve for y, we equate $MN : RS$ and $PQ : TU$

$18 : 30 = 15 : y$

Express as fraction

$\frac{18 }{ 30 }= \frac{15 }{ y}$

Make y the subject

$y = 15 * \frac{30 }{ 18 }$

$y = \frac{15 *30}{ 18 }$

$y = \frac{450}{ 18 }$

$y = 25$

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