I need help with the following equations and also I need to know how to graph some of the following questions.

Question 1

Graph the following system of equations.

xy=2

2x+y=1

What type of system is this?

__________

Solution.

x=

____________

y=

____________

Question 3:

Graph the following non-linear system of equations and identify the two solutions.

y=2^x

7x+3y=3

What type of function is the equationy=2^x?

__________

What type of function is the equation7x+3y=3?

__________

Use your graph below to identify the two solutions to this non-linear system of equations.

Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions.

List the solution, (x,y), with thesmallestx value below.

x=

__________

y=

__________

List the solution,(x,y),with thelargestx value below.

x=

__________

y=

__________

Question 4: (2 points)

Noah is writing an exam for his 8thgrade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He plans to mix short answer questions worth 3 points with multiple choice questions worth 2 points.

make a system of equations to tell us how many of each type of question Noah can have on the test.

Let x= the number of short answer questions and y= the number of multiple choice questions.

make an equation for the number of questions on the test.

__________

make an equation for the number points on the test.

__________

How many short answer questions should Noah put on the exam?

____________

How many multiple choice questions should Noah put on the exam?

____________