Lucy had math and reading homework tonight. lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minutes. the number of math problems lucy solved is 3 times the number of pages she read and it took her 105 minutes to complete all of her homework. graphically solve a system of equations in order to determine the number of math problems lucy solved, x, and the number of pages she read, y.

,  graph is there for reference.

Step-by-step explanation:

Given,

is the number of math problem Lucy solved.

is the number of  pages she read.

She can do each math problem in   minutes, therefore she can solve number of questions into minutes.

She can read each page in minutes, therefore she can read pages in 2.5y minutes.

As per given detail,

equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

equation 2.

We need to find and intercept of each of the equation to graph them.

For put y=0

We will get

Thus the point is

Let us find by assuming

we get

Thus the point is

Join these two points.

Similarly considering the other equation

Here x-intercept would be at

We will get

Thus the point is

Let us assume on more point, say , we get

Thus the point is

Join these two points.

We will get a point of intersection at

Thus and

step-by-step explanation: