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natima [27]
3 years ago
8

Solve by substitution. Show each step of your work. 2x + y = 7 3x + 5y = 14

Mathematics
1 answer:
Monica [59]3 years ago
8 0
Alright...simple...showing all steps.. ;)

You have the equations...

2x+y=7
and
3x+5y=14

To be able to even solve for any of the variables...multiply the equations by...2...and..3...

2x+y=7----*3--> 6x+3y=21
and
3x+5y=14-----*2--->6x+10y=28

Thus,

6x+3y=21
-
6x+10y=28

=========

-7y=-7

y=1

Now, plug y back into any of the original equations....we'll use 2x+y=7 in this case....

2x+(1)=7

2x+1=7
      -1  -1

2x=6

x=3

Thus, the point of intersection for these two equations is (3,1)
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Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7
gregori [183]

Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

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Putting the given values:

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Therefore, the answer is:

Interest earned is <em>$126</em>.

8 0
3 years ago
In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot.
Dimas [21]

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3 years ago
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ehidna [41]

Answer:  1) 0.10

               2) 0.60

               3) 0.20

               4) 0.10

<u>Step-by-step explanation:</u>

The total frequency is 20+120+40+20 = 200.  This means they ran the experiment 200 times.  The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right]

6 0
3 years ago
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