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. Thus, we have:

Step 2 of 3:

Find two coordinate points of the equation, y = 2x - 5

when x = 1,

when x = -1,

The required points are, (1,-3) and (-1,-7)

Find three coordinate points of the equation, y = 4x2

when x = -1,

when x = 1,

when x =0,

The required points are: (-1, 4),(1, 4) and (0, 0)

Step 3 of 3:

Draw the graph of the set of equations, corresponding to the found points.

It is clear that there are no points of intersection. Hence, the given equation has no solution.

Maximum solutions possible for a quadratic equation are two. There are instances where the equation has no solutions as well.

### Related Questions to study

Maths-

### Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

### Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

Maths-General

Maths-

### The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

### The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

Maths-General

Maths-

### Find the solution of the system of equations.

y = 2x + 5

### Find the solution of the system of equations.

y = 2x + 5

Maths-General

General

### Format the sentence into converts Spanish grammar.

"My wife buys a new television for my father”

### Format the sentence into converts Spanish grammar.

"My wife buys a new television for my father”

GeneralGeneral

General

### Find the helping Verbs and Action Verbs in the following sentences.

### Find the helping Verbs and Action Verbs in the following sentences.

GeneralGeneral

Maths-

### If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

### If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

Maths-General

Maths-

### Find the solution of the system of equations.

### Find the solution of the system of equations.

Maths-General

Maths-

### Find the solution of the system of equations.

y = 5 - 2x

### Find the solution of the system of equations.

y = 5 - 2x

Maths-General

Maths-

### At what rate percent per annum will a sum of money double itself in 10 years?

### At what rate percent per annum will a sum of money double itself in 10 years?

Maths-General

Maths-

### Find the solution of the system of equations.

y = 3x

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

### Find the solution of the system of equations.

y = 3x

Maths-General

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

General

### Choose the synonyms of 'research'

### Choose the synonyms of 'research'

GeneralGeneral

Maths-

### What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

### What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

Maths-General

General

### Which of the following is an example of parallel structure?

### Which of the following is an example of parallel structure?

GeneralGeneral

Maths-

### Find the solution of the system of equations.

### Find the solution of the system of equations.

Maths-General

Maths-

### Consider this simple bivariate data set.

a) Draw a scatter plot for the data.

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

### Consider this simple bivariate data set.

a) Draw a scatter plot for the data.

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

Maths-General