Maths-

General

Easy

Question

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

Hint:

### A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.

We are asked to rewrite the equation as system of equations and graph them to solve it.

## The correct answer is: We are asked to rewrite the equation as system of equations and graph them to solve it.

### Step 1 of 3:

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

Step 2 of 3:

Find three points of the equation, ;

When x = 0,

when x = -1,

when x = 1,

Thus, the required points are, (0, 0) (-1, -3.5) and (1, 4.5).

Find two points of the equation -12 - 15x,

When x = 0,

when x = 1,

Thus, the points are: (x = -12) and (1,-13.5)

Step 3 of 3:

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

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

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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