Question

Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of linear equations?

a.3/41
b.9
c.10
d.41/3

Answer 1

Option: c is the correct answer.

The value of x is 10.

Explanation:

We know that a solution of the system of linear equation can be obtained by the method of substitution.

Here we are given a system of equations as:

x-y=11-------(1)

and 2x+y=19------(2)

We will get the value of y in terms of x from equation(1) and put that value in equation (2) to obtain the value of x as:

y=x-11

Now putting in equation (2)

2x+x-11=19

⇒ 3x-11=19

⇒ 3x=19+11

⇒ 3x=30

⇒ x=10

( since on dividing both side by 3)

Hence, the value of x is:

10

Answer 2

The solution to the answer is as follows:

x - y = 1...[1],

2x + y = 19...[2], {[1]+[2]}---> 3x = 30,

ie., x = 10. C is correct answer.

I hope my answer has come to your help. God bless and have a nice day ahead!