There are a total of 64 students in a drama club and a yearbook club .The drama club has 10 more students than the yearbook club . Find the system or equations

x + y = 64

x + 10 = y

Step-by-step explanation:

Since it isn't asking for the solutions, I won't solve.

let y represent drama students, and x represent the yearbook students.

We know that  DS (drama students) plus YS (Yearbook students) equals 64 students in total. To write this mathematically you would write x(YS)+ y(DS) = 64 (Students in total) except just x + y = 64.

The second part of this system explains what y is.

We know that the drama club has 10 more students than yearbook students, so YS plus 10 equals the amount of DS. To write this mathematically you would write x + 10 = y.

Combine the two systems by writing

x + y = 64

x + 10 = y

P.S. Let me know if you need the system solved.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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step-by-step explanation: