Max practices the piano and the guitar for a total of 150 minutes every day. he practices the guitar for 80 minutes longer than he practices the piano.

part a: write a pair of linear equations to show the relationship between the number of minutes max practices the guitar (x) and the number of minutes he practices the piano (y) every day. (5 points)

part b: how much time does max spend practicing the piano every day? show your work. (3 points)

part c: is it possible for max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 80 minutes longer than he practices the piano? explain your reasoning. (2 points)

i will give brainleist

answer:

eg. x minutes for piano practice, y minutes for guitar practice

the equation

x + y = 150 (1st equation)

y = 80 + x (2nd equation)

how to solve

change y to 80 + x in 1st equation

x + y = 150

x + 80 + x = 150

2x + 80 = 150

2x = 150 - 80

2x = 70

x = 70/2

x = 35

max practice the piano 35 minutes everyday

step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)