(08.03 mc)
a system of equations is shown below:

y = 3x – 7
y = 2x + 1

what is the solution to the system of equations? (1 point)

a. (8, 17)

b. (–8, 17)

c. (–8, –17)

d. (8, –17)

(8, 17)

Step-by-step explanation:

Here you have two functions equalling y.

To find x, we set these two functions equal to one another, which eliminates y:  

3x - 7 = 2x + 1.

Find x.  To do this, subtract 2x from both sides, obtaining x - 7 = 1.

Next, add 7 to both sides:  x = 8.

Finally, find y.  Do this by subbing 8 for x in either of the two given equations.

Working with the 2nd equation:  y = 2(8) + 1 = 17

Thus, the solution is (8, 17).

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).