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1 year ago

3x + y = – 7 Solve to find were the two point intercept

Mathematics

1 answer:

Tju [1.3M]1 year ago

3 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First we need to convert it into y=mx+c form

${:}\longrightarrow$ $\sf 3x+y=-7$

${:}\longrightarrow$ $\sf y=-7-3x$

Now create table using this

<h3><u>Table</u><u>:</u><u>-</u></h3>

$\boxed{\begin{array}{|c|c|c|c|} x & 1 & (-1) & 0 \\ y & -10 & (-4) & -7 \end{array}}$

Hence the intercepts are

$\therefore$ $\sf A (1,-10),B(-1,-4),C(0,-7)$

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Amount of fabric Richard was given = $\frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2$

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Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

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amount of fabric Richards used for his project = $\frac{35}{12}-\frac56$

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project = $\frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}$

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amount of fabric Richards used for his project = $\frac{35-10}{12}= \frac{25}{12}\ yds^2$

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Hence Richard used $2\frac{1}{12}\ yd ^2$ of fabric for his project.

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