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2 years ago

What is the value of y in the solution to the system of equations?

Mathematics

2 answers:

Vadim26 [7]2 years ago

5 0

Keywords

system of equations, linear equation, elimination method

we have

$\frac{1}{3}x+ \frac{1}{4}y=1$

Multiply by $12$ both sides

$4x+3y=12$ -----> linear equation A

$2x-3y=-30$ -----> linear equation B

Applying the elimination method for solve the system of equations

Adds equation A and equation B

$4x+3y=12 \\2x-3y=-30\\-------- \\4x+2x=12-30 \\6x=-18 \\x=-3$

Find the value of y

$4(-3)+3y=12$

$3y=12+12$

$y=8$

therefore

the answer is the option D

$8$

agasfer [191]2 years ago

5 0

Answer:

Option d is correct

y = 8

Step-by-step explanation:

Given the system of equations:

$\frac{1}{3}x+\frac{1}{4}y = 1$ ....[1]

$2x-3y = -30$ ....[2]

Multiply equation [1] by 12 to both sides we have;

$4x+3y = 12$ .....[3]

Add equation [2] and [3] we have;

$6x = -18$

Divide both sides by 6 we have;

x = -3

Substitute in [2] to solve for y:

2(-3)-3y = -30

-6-3y = -30

Add 6 to both sides we have;

-3y = -24

Divide both sides by -3 we have;

y = 8

Solution we get: (-3, 8)

Therefore, the value of y in the solution to the system of equations is, 8

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2 years ago

An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu

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Answer:

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Required

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2 years ago

In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had

mr_godi [17]

Answer:

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Step-by-step explanation:

In the poker game it is given that the probability that Mary has a better hand than John is 0.04.

Let the event that Mary has a better hand than John be A.

Let the event that that Mary raises the stakes be B.

It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9

Therefore p(B | A) = 0.9

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Therefore p(B | A') = 0.1

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2 years ago

Sophie could $330 in a savings account at a simple interest rate of 4% per year. Avi put $290 in a savings account at a simple i

worty [1.4K]

Sophie would’ve earned more
She would’ve earned $37 more

Calculations:
Sophie:
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=$356
Simple interest: $356-$330
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Avi:
$290(1+5%*2)
=$319
Simply interest: $319-$290
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$29-$26
=$3

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2 years ago