Maths-

General

Easy

Question

# Find the solution of the system of equations.

Hint:

### A quadratic equation of the form x^{2 }+( a +b) x + ab can be simplified into (x + a) (x + b). This can be further solved by equating it to zero.

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 of equation has the same value. Equate the RHS to down the set to a single variable.

Step 2 of 3:

Solve the simplified equation:

Step 3 of 3:

Substitute the values of in any of the equation to get the values of y.

When x = -1,

when x = 4,

Thus, the required sets of solutions are ( -1, -2) and ( 4, -12).

The maximum number of solutions a polynomial of degree two could have is two.

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d) Identify any outliers.

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You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.

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y = 13 - 2x

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### In a newspaper, the number of photos and number of words were counted for 15 different pages. Here are the results.

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### 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=2

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=2

iv) x when y=5.5

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

d) Identify any outliers.

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

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