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

Mathematics

2 answers:

coldgirl [10]3 years ago

8 0

Answer:

A. -4

Step-by-step explanation:

To find the y-value in the solution to this system of linear equation, we will follow the steps below:

4x + 5y = −12 ------------------------------------------------------(1)

-2x + 3y = −16 -----------------------------------------------------(2)

Multiply through equation (1) by 2 and multiply through equation (2) by 4 to make the x coefficient have equal value

8x + 10y = -24 ---------------------------------------------------(3)

-8x + 12y = -64 ---------------------------------------------------(4)

Add equation (1) and equation (2)

22y = -88

Divide both-side of the equation by 22

22y/ 22 = -88/ 22

y =-4

Westkost [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x + 5y = - 12 → (1)

- 2x + 3y = - 16 → (2)

Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)

- 4x + 6y = - 32 → (3)

Add (1) and (3) term by term

11y = - 44 ( divide both sides by 11 )

y = - 4

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8 0

3 years ago

You leave a 15% tip of $3.12. How much was the bill?

dangina [55]

Answer:

$3.61 cents

Step-by-step explanation:

Given the following question:

15% of 3.12

To find the answer we use the formula to calculate percentages, then we add that answer to the initial bill.

$\frac{p\times n}{100}$
$\frac{15\times3.12}{100} =15\times3.12=46.8\div100=0.468$
$=0.468$

<u>Round:</u>
$0.468$
$8 > 5$
$0.47$
$t=0.47$

<u>Now add:</u>
$3.14+0.47=3.61$
$=3.61$

After leaving a 15% tip, the total amount you would pay is "$3.61 cents."

Hope this helps.