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
2 answers:
The solution to the answer is as follows:
<span>x - y = 1...[1],
2x + y = 19...[2], {[1]+[2]}---> 3x = 30,
ie., x = 10. C is correct answer.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
<h3><u>
Answer:</u></h3>
Option: c is the correct answer.
The value of x is 10.
<h3><u>
Step-by-step explanation:</u></h3>
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
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