Question

A coordinate grid with 2 lines. The first line is labeled g(x) and passes through the points (negative 3, 0) and (0, 2). The second line is labeled f(x) and passes through the points (negative 3, 0) and (0, 2). What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)

Answer 1

The correct answer is option c i.e. (0, 2)

What is Linear Equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Here, The solution to this Linear System is already shown by the graph. This is also called the Graph Method. The Solution of this Linear System is this common point in this case, (0,2).

Since each equation is represented by a line. So We have  g(x) for the red line, and f(x) for the blue one. Each line is a set of points, We know that from the Euclidean Geometry and its common point (0,2) solves this system.

Thus, the correct answer is option c i.e. (0, 2)

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