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 :

Thus, we get a system of equation.

Step 2 of 2:

Consider the equation, y = 2x2 + 3x. Find three solutions for the equation.

when x = 0,

when x = -1,

when x = 1,

Thus, the points are; (0, 0) )(-1, -1) and (1,5)

Consider the equation y = 2x+y and find two solutions.

when x = 0,

when x = 1,

Thus, the required points are; (0,1) and (1, 3)

Step 3 of 3:

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

Here, they graphs intersect at two point; (-1 -1) and (0.5, 2). This means that the solutions of the system of equation are (-1 -1) and (0.5, 2).

Solutions of a set of equation can be found by graphing the equations and finding the intersecting points. The points where they intersect are the solutions.

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