Question

Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.

Answer 1

System of equations

`x + y = 5`

`y - 2x = -4`

`(x,y) = (3,2)` --- solution

See attachment for graph

Explanation:

Solving (a): Linear equations with 1 solution

The only condition to this is that, the system must have 1 solution.

Other than that, there is no other condition.

A linear equation is represented as:

`ax + by= c`

For the equation to have 1 solution;

`a_1 * b_2 \\e a_2 * b_1`

And example of such equation is:

`x + y = 5`

`y - 2x = -4`

Solving (b): The graph

See attachment for graph

The solution is the point of intersection of both lines of the graph. So, we have:

`(x,y) = (3,2)`