Answer:
System of equations
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
[tex](x,y) = (3,2)[/tex] --- 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:
[tex]ax + by= c[/tex]
For the equation to have 1 solution;
[tex]a_1 * b_2 \ne a_2 * b_1[/tex]
And example of such equation is:
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
Solving (b): The graph
See attachment for graph
The solution is the point of intersection of both lines of the graph. So, we have:
[tex](x,y) = (3,2)[/tex]
