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

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4 votes

Answer:

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)

Create a system of linear equations with one solution. In your final answer, include-example-1
User Rohit Karadkar
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