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eimsori [14]
3 years ago
7

Find the solution to the system of equations. You can use the interactive graph below to find the solution. \begin{cases} -3x-9y

=18 \\\\ 4x+3y=12 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ −3x−9y=18 4x+3y=12 ​.
SAT
2 answers:
alisha [4.7K]3 years ago
5 0

Answer:

x=6

y=-4

Explanation:

got it on khan <3

mrs_skeptik [129]3 years ago
4 0

The solution to the system of equations is x = 30 and y = -36.

The two equations are known as simultaneous equations. The elimination method would be used to determine to find the solutions.

−3x−9y=18 equation 1

4x+3y=12 equation 2

In order to determine the value of x, take the following steps;

Multiply equation 2 by 3

12x + 9y = 36 equation 2

Add  equation 1 and equation 2

x = 30

Substitute for x in equation 2

4(30) + 3y = 12

120 + 3y = 12

120 - 12 = -3y

108 = -3y

y = 108 / -3 = -36

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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jabria added water to a tank by opening a valve to produce a constant stream of water. after 7 minutes, the tank contained 3,482
scZoUnD [109]

Using a linear function, it is found that 1466 gallons of water were in the tank when jabria began adding water.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that in 12 minutes, the amount of water increased by 3456 gallons, hence the slope is given by:

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In 7 minutes, the tank contained 3,482 gallons of water, hence the initial amount was given by:

3482 - 7 x 288 = 1466.

1466 gallons of water were in the tank when jabria began adding water.

More can be learned about linear functions at brainly.com/question/24808124

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