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2 years ago

3) Solve the system using substitution. Show all work. -4x + 3y = 23 y = -7x - 9

Mathematics

1 answer:

Rina8888 [55]2 years ago

5 0

Answer:

x = -2

Step-by-step explanation:

-4x + 3y = 23

y = -7x - 9 // *-3

-4x + 3y = 23

-3y = 21x -27

+++++++++++++++++++

-4x = 21x + 50

-50 = 25x

x = -2

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2 years ago

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OPTION C: $\textbf{37} \frac{\textbf{28}}{\textbf{8}}$ pounds.

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From the figure we can see that there are three dots against $3 \frac{7}{8}$ .

That means it becomes $3 \times 3\frac{7}{8}$ .

Note that if there is a mixed fraction of the form $a \frac{b}{c}$ = $a + \frac{b}{c}$ .

Therefore, $3 \times 3\frac{7}{8} = 3 \times \bigg(3 + \frac{7}{8} \bigg )$ ... (1)

Similarly, against 4 there are 2 dots.

So, it should be $4 \times 2$ pounds. ...(2)

3 dots against $4 \frac{1}{8}$ .

So, it becomes $3 \times \bigg(4 + \frac{1}{8} \bigg)$ ...(3)

Similarly, 2 dots against $4 + \frac{2}{8}$ .

This will become $2 \times \bigg( 2 + \frac{2}{8} \bigg)$ ...(4)

Now, to calculate the total pound, we simply add (1), (2), (3) & (4).

⇒ $3 \times \bigg(3 + \frac{7}{8} \bigg )$ $+$ $4 \times 2$ + $3 \times \bigg(4 + \frac{1}{8} \bigg)$ $+$ $2 \times \bigg( 2 + \frac{2}{8} \bigg)$

⇒ $9 + \frac{21}{8} + 8 + 12 + \frac{3}{8} + 8 + \frac{4}{8}$

⇒ $\bigg ( 9 + 8 + 12 + 8 \bigg) + \bigg( \frac{21 + 3 + 4}{8} \bigg )$

⇒ $\textbf{37} \textbf {+} \frac{\textbf{28}}{\textbf{8}}$ $\textbf{=} \hspace{1mm} \textbf{37} \frac{\textbf{28}}{\textbf{8}}$ which is the required answer.

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