Solve this system of linear equations by substitution method

1 answer:

6 0

If I were you, I would select the first equation to put in y=mx+b form so that you can substitute it in to the second one. What you do is you subtract the x from the left side and bring it over to the right and then you divide everything by 5. The y=mx+b equation is y=-1/5x-7. Then, you substitute this equation into the bottom one so you are now working only with x's. You should distribute and combine like terms. When you distribute and clean it up, at the end you should get 18/5x-14=8. You then add 14 to get 22 on the right side and then multiply that by the reciprocal of the fraction. When you multiply 22 by 5/18, you should get a reduced fraction of 55/9. You then substitute this value into either equation to get the y-value. You should get a y-value of -260/45. Your answer as an ordered pair should be (55/9,-260/45).

You might be interested in

1,240,759 divided by 7

hram777 [196]

The answer to your question is 177,251.28571529

6 0

4 years ago

Sales of the first Quality Mini Buses were as follows: 250 yellow, 150, green, and 100 blue. Assume the relative frequency metho

Arisa [49]

Answer:

c. 0.80

Step-by-step explanation:

Probability from relative frequency:

The probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that the next bus sold will be yellow or green?

250+150+100 = 500 buses sold

Of those, 250+150 = 400 are yellow or green.

400/500 = 0.8

So the correct answer is:

c. 0.80

3 0

3 years ago

Three copies of a triangle were rotated and positioned as shown.

lara31 [8.8K]

<span>The question aks us to determine which statement is always true about the angles in the figure. If angle A and B form a right angle, then C must be also a right angle, which is not correct. Also if A and C form a right angle, then angle B must be a right angle. So answers A and C are false. Also thet we know that the sum of the interior angles of the triangle is 180 degrees. A + B + C = 180 deg. ( or a straight angle ). Answer: B. Angle A, angle B, and angle C, form a straight angle. </span>

4 0

3 years ago

Select the correct answer. During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she

omeli [17]

Answer:

A. x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

10x +15y = 410 . . . total earnings

So, the system of equations is ...

x + y = 34
10x + 15y = 410

3 0

3 years ago

Anna started a dog walking business. So far she has $117. She spent $45 dollars on supplies and charges $12 per hour. How many h

Contact [7]

If she spent 45 dollars on supplies, we need to add that to the total:

117 + 45
162

Now, lets divide by 12 to get the number of hours:

162/12
13.5 hours

If your question asks for a whole number, we have to say 13, because she didn't complete 14.

Hope this helps!

3 0

3 years ago