Question

Matilda practices guitar for a total of 70 minutes every day. She spends 10 minutes more practicing the electric guitar than the acoustic guitar.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Matilda practices the acoustic guitar every day (x) and the number of minutes she practices the electric guitar every day (y).

Part B: How much time does Matilda spend on practicing the acoustic guitar every day?

Part C: Is it possible for Matilda to have spent 50 minutes practicing the electric guitar every day? Explain your reason?

Answer 1

@perl

Answer 2

@ertdre

Answer 3

So basically you have the equations 70 = x + y and y = x + 10.

Answer 4

OK now what do I do?

Answer 5

Can you solve the system of equations?

Answer 6

Kinda.

Answer 7

Give it a try.

Answer 8

ok give a min

Answer 9

\[x + y = 70 \]\[y = x + 10\] \[x + x + 10 = 70\]\[x = 30\] \[30 + y = 70\] \[y = 40\]

Answer 10

Right!

Answer 11

So the acoustic guitar is represented by x, so she spends 30 mins on it every day.

Answer 12

so then she spends time on the electric guitar for 40 min

Answer 13

Yes

Answer 14

but what do I do now?

Answer 15

You just solved Parts 1 and 2.

Answer 16

I did? cool so for part c its no? @a1234

Answer 17

Yes. If you want to give your teacher a more detailed explanation, plug in 50 for y and show that it doesn't work.