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

Option: c is the correct answer.

The value of x is 10.

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

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64