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3 years ago

Use elimination to solve the system of equations. 5x-2y=-3 4x-2y = -6

Mathematics

1 answer:

Effectus [21]3 years ago

5 0

Answer:

x=3, y=9

Step-by-step explanation:

5x-2y=-3

4x-2y=-6

Then:

solve for y:

-2y=-6-4x

y=3+2x

Substitute y into either equation:

4x-2(3+2x)=-6

4x-6-4x=-6

-6=-6, use other equation

5x-2(3+2x)=-3

5x-6-4x=-3

x-6=-3

x=3

then:

y=3+2(3)

y=9

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2 years ago

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sammy [17]

Answer:

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Step-by-step explanation:

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3 years ago

Can you please help me out

Taya2010 [7]

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

$\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}$

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

$\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}$ $\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}$

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

$\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}$

Hence, the best option is G.

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1 year ago

Surface area for a rectangular prism 43in 19in 35in

Ugo [173]

A = 2lw + 2lh + 2wh
A = 2(43)(19) + 2(43)(35) + 2(19)(35)
A = 2(817) + 2(1505) + 2(665)
A = 1634 + 3010 + 1330
A = 5974in²

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3 years ago