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USPshnik [31]
2 years ago
10

Y=2x-2 and 4x+2y=12. solve the equation PLEASE SHOW WORK​

Mathematics
2 answers:
diamong [38]2 years ago
8 0
<h3>The solution as an ordered pair is (x,y) = (2,2)</h3><h3>x = 2 and y = 2 pair up together.</h3>

===============================

Work Shown:

4x+2y = 12

4x+2( y ) = 12

4x+2( 2x-2 ) = 12 ... replace y with 2x-2

4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule

4x+4x-4 = 12

8x-4 = 12

8x-4+4 = 12+4 ... add 4 to both sides

8x = 16

8x/8 = 16/8 ... divide both sides by 8

x = 2 is the first part of the answer

Use x = 2 to find y

y = 2x-2

y = 2(2)-2 ... replace x with 2

y = 4-2

y = 2 is the second part of the answer

Ivenika [448]2 years ago
8 0

Answer:

<h2>x = 2 and y = 2 → (2, 2)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=2x-2&\text{subtract 2x from both sides}\\4x+2y=12\end{array}\right\\\\\left\{\begin{array}{ccc}-2x+y=-2&\text{multiply both sides by 2}\\4x+2y=12\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-4x+2y=-4\\4x+2y=12\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=8\qquad\text{divide both sides by 4}\\.\qquad\qquad\boxed{y=2}\\\\\text{Put the value of y to the second equation:}

4x+2(2)=12\\4x+4=12\qquad\text{subtract 4 from both sides}\\4x=8\qquad\text{divide both sides by 4}\\\boxed{x=2}

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ale4655 [162]
Jerome makes 1/3 of the whole profit. So to find the overall profit of the company, multiply his profit by 3.
If he makes $150,000 this is how you would solve:
150,000•3= $450,000

450,000 dollars is your answer.

The dot is just a multiplication sign.
4 0
3 years ago
Sorry if its blurry <br>Need help with this almost done
JulijaS [17]

Answer:

the number of pencils she bought

Step-by-step explanation:

p is just another variable like x or y

3 0
2 years ago
Between the time Iko woke up and lunchtime,the temperature rose by 11.Then by the time he went to bed,the temperature dropped by
dimaraw [331]

Answer:

<u></u>

  • <u>11 + ( - 14)</u>

Explanation:

The complete question is:

<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>

<em />

<em>Write an addition expression for the temperature relative to when iko woke up. </em>

<em />

<h2>Solution</h2>

It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.

Then, relative to when Iko woke up the temperature is:

  • + 11º

Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:

  • +  11º + (- 14º).

If you want the overall change in temperature you do the operation:

  • 11 + (-14) =  11 - 14 = - 3. A net decrease of 3º.

But the answer to this question is the additive expression:

  • 11 + ( - 14) ← answer
4 0
3 years ago
There are 418 students at a school. Han estimates that they each drink about 5 glasses of water each day.
Sauron [17]

Answer:

Step-by-step explanation:

a) together, they all drink about 2,090 glasses of water in one day. (418 * 5 = 2,090).

b) 2,090 * 7 (7 days in 1 week) = They drink about 14,630 glasses of water in one week.

c) 14,630 * 4 (4 weeks in 1 month) = About 58,520 glasses of water in one month.

d) 1,000,000/58,520 ≈ 17. It would take all of the students about 17 months to drink 1,000,000 glasses of water.

Hope that helps!

6 0
2 years ago
Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea
77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters  and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

-n = -26

n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

3 0
2 years ago
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