Maths-

General

Easy

Question

# Find the solution of the system of equations.

y = 4x - 5

Hint:

### Hint:

A polynomial of degree two have at most two real solutions. Factorization is the process of factorizing an equation or an expression.

We are asked to solve the set of equation.

## The correct answer is: We are asked to solve the set of equation.

### Step 1 of 3 :

The LHS of the given set has the same value. So, we could equate the RHS of the set. Thus, we have:

Here, we multiply the equation by ten to remove the decimal.

Step 2 of 3:

Solve the equation to find the variable of x.

Here, the solution is x = 0 with a multiplicity of two.

Step 3 of 3:

Substitute the value of x in any of the equation to get the value of y :

When x = 0,

Thus, the required solution is (0, -5).

The multiplicity of a value is the number of times it repeats itself.

### Related Questions to study

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

General

### Choose the correct definition of "Mech anise"

### Choose the correct definition of "Mech anise"

GeneralGeneral

Maths-

### A tomato grower experiments with a new organic fertilizer and sets up five separate garden beds: A, B, C, D and E. The grower applies different amounts of fertilizer to each bed and records the diameter of each tomato picked. The average diameter of a tomato from each garden bed and the corresponding amount of fertilizer are recorded below.

A )Draw a scatter plot for the data with ‘Diameter’ on the vertical axis and ‘Fertilizer’ on the horizontal axis. Label the points A, B, C, D and E.

b)Which garden bed appears to go against the trend?

c)According to the given results, would you be confident saying that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced?

### A tomato grower experiments with a new organic fertilizer and sets up five separate garden beds: A, B, C, D and E. The grower applies different amounts of fertilizer to each bed and records the diameter of each tomato picked. The average diameter of a tomato from each garden bed and the corresponding amount of fertilizer are recorded below.

A )Draw a scatter plot for the data with ‘Diameter’ on the vertical axis and ‘Fertilizer’ on the horizontal axis. Label the points A, B, C, D and E.

b)Which garden bed appears to go against the trend?

c)According to the given results, would you be confident saying that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced?

Maths-General

Maths-

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

Y = - 4x - 3

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

Y = - 4x - 3

Maths-General

Maths-

### Consider the variables x and y and the corresponding data

a) Draw a scatter plot for the data.

b) Is there a positive, negative or no correlation between x and y?

### Consider the variables x and y and the corresponding data

a) Draw a scatter plot for the data.

b) Is there a positive, negative or no correlation between x and y?

Maths-General

General

### Choose the negative adjective starting with ' r '

### Choose the negative adjective starting with ' r '

GeneralGeneral

Maths-

### Consider the variables x and y and the corresponding bivariate data .

a) Draw a scatter plot for the data.

b) Is there positive, negative or no correlation between x and y?

c) Fit a line of best fit by eye to the data on the scatter plot.

d) Use your line of best fit to estimate:

i) y when x=3.5

ii) y when x=0

iii) x when y=1.5

iv) x when y=5.5

### Consider the variables x and y and the corresponding bivariate data .

a) Draw a scatter plot for the data.

b) Is there positive, negative or no correlation between x and y?

c) Fit a line of best fit by eye to the data on the scatter plot.

d) Use your line of best fit to estimate:

i) y when x=3.5

ii) y when x=0

iii) x when y=1.5

iv) x when y=5.5

Maths-General

Maths-

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

Y = 3x+20

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

Y = 3x+20

Maths-General

General

### Solve the reading game.

Baby couldn't finish his HUMONGOUS sandwich

### Solve the reading game.

Baby couldn't finish his HUMONGOUS sandwich

GeneralGeneral

Maths-

### By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.

### By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.

Maths-General

Maths-

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

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

Maths-General

Maths-

### By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.

### By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.

Maths-General

Maths-

### Which number is next in the sequence? 35, 85, 135, 185, __

### Which number is next in the sequence? 35, 85, 135, 185, __

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

Maths-

### Calculate the time required for the principal to triple itself at the rate of 15% per annum simple interest.

### Calculate the time required for the principal to triple itself at the rate of 15% per annum simple interest.

Maths-General