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3 years ago

13

Pls help!! and pls explain because i have a test tmr D:

1 answer:

alexandr402 [8]3 years ago

5 0

ANSWER:2.88
25+5X=30.76+3X
5X-3X=30.76-25
2X=5.76
X=5.76/2
X=2.88 IS THE HOURLY WAGE
PROOF:
25+5*2.88=30.76+3*2.88
25+14.40=30.76+8.64
39.40=39.40

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Which of the points is a solution to the following system of equations? -5x- 3/2y=15 3x+5/6 y=-44/3

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<em>Note: Your question sounds a little unclear, but I am assuming that your system of equations is:</em>

$-5x-\:\frac{3}{2}y=15$

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It would anyways clear your concept because the procedure to find the solutions remains the same for any set of a system of equations.

Answer:

The solution of the system of equations be:

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Step-by-step explanation:

Given the system of equations

$-5x-\:\frac{3}{2}y=15$

$3x+\frac{5}{6}y=-\frac{44}{3}$

solving the system of equations

$\begin{bmatrix}-5x-\frac{3}{2}y=15\\ 3x+\frac{5}{6}y=-\frac{44}{3}\end{bmatrix}$

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$\mathrm{Multiply\:}3x+\frac{5}{6}y=-\frac{44}{3}\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:15x+\frac{25}{6}y=-\frac{220}{3}$

so the system of equations becomes

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ 15x+\frac{25}{6}y=-\frac{220}{3}\end{bmatrix}$

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$15x+\frac{25}{6}y=-\frac{220}{3}$

$+$

$\underline{-15x-\frac{9}{2}y=45}$

$-\frac{1}{3}y=-\frac{85}{3}$

so

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ -\frac{1}{3}y=-\frac{85}{3}\end{bmatrix}$

solving $-\frac{1}{3}y=-\frac{85}{3}$ for y

$-\frac{1}{3}y=-\frac{85}{3}$

Multiply both sides by -3

$\left(-\frac{1}{3}y\right)\left(-3\right)=\left(-\frac{85}{3}\right)\left(-3\right)$

$y=85$

$\mathrm{For\:}-15x-\frac{9}{2}y=45\mathrm{\:plug\:in\:}y=85$

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$-15x-\frac{765}{2}+\frac{765}{2}=45+\frac{765}{2}$

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$\mathrm{Divide\:both\:sides\:by\:}-15$

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Therefore, the solution of the system of equations be:

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