Maths-

General

Easy

Question

# Rewrite the equation as a system of equations, and then use a graph to solve.

Hint:

### A set of equation can be solved by graphing them. Each points of intersection among the graphs are solutions for the given set. If there are no points of intersection, then there are no solutions for the set.

We are asked to rewrite the equation into a system of equation and then use a graph to solve.

## The correct answer is: We are asked to rewrite the equation into a system of equation and then use a graph to solve.

### Step 1 of 3:

Equate each side of the equation to a new variable, y :

Find three solutions of the equation, :

When , x = 0,

when x = -1,

when x = 1,

Thus, the solutions are, (0, 0) (-1,7)and(1, -5)

Find two solutions of the equation y = 2x -16,

When , x = 0,

when x = 1,

Thus, the solutions are (0, 0) and (1, -14)

Step 3 of 3:

Plot the points and join them to get the respective graph.

Here, there is just one point where both the graphs intersect each other. The point is (4, -8). Thus, we can say that the point is the solution of the set of equation.

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

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