Question

Your schools talent show will feature 12 solo acts and ensemble 2 acts. The show will last 90 min. The 6 solo performers judged best will give a repeat performance at a second 60-min show, which will also feature the 2 ensemble acts. Each solo lasts x minutes, and each ensemble act lasts y minutes.
A. Write a system of equations to model the situation.
B. Solve the system from part(a). How long is each solo act? How long is each ensemble act?

Answer 1

So
12x+2y=90
6x+2y=60

Answer 2

To give u a start, subtract both equations to get x

Answer 3

Is that A?^

Answer 4

And with x, substitute that back to the equation to get y

Answer 5

And yes, do u understand how I got those two equations?
.

Answer 6

yes I do.

Answer 7

Ok, so now u just have to solve for x and y

Answer 8

I got a decimal for x.

Answer 9

U shouldnt

Answer 10

When u subtract the ys cancel out

Answer 11

So 6x=30

Answer 12

I thought you added the problems.. ohhh. LOL

Answer 13

No u have to subtract. U wanna try to get rid of one of the variables

Answer 14

So. I got y = 15

Answer 15

Yea, and x?

Answer 16

5

Answer 17

Yup