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

Answer:

System of equations

$x + y = 5$

$y - 2x = -4$

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

See attachment for graph

Step-by-step 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;

$a_1 * b_2 \ne a_2 * b_1$

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:

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