Find the number of the solutions to each system.

Question

a. 4x-y+1=0 4x-y+3=0
b. 2x-y+4=0 4x-2y+8=0
Write a question that can be solved using a system of linear equations.
Solve the following system of equations by graphing: y=x+3 and y=-2x-3

Answer 1

(a) no solutions. How can 4x-y be both -1 and -3?

(b) many solutions: if you multiply the first equation by 2, you will see that both equations describe the same line.

Google is your friend. Use it to get lots of examples of linear equations in problems.

To solve by graphing, you'll have to do the graphs. The solution is where the graphed lines intersect.

Answer 2

In google type :

functions graphs online

When you see list of results click on :

Draw Function Graphs - Plotter - Rechneronline

When page be open in blue rectangle type :

x + 3

In gray rectangle type :

- 2 x - 3

Then click option :

Draw

Solution :

x = - 2 , y = 1