Question

What is the x value in the solution to this system of linear equations?
2x-y=11
x+3y=-5

a.-3
b.-1
c.2
d.4

Answer 1

2x-y=11 }x3
x+3y=-5

So, 6x-3y=33 
       x+3y=-5
Using elimination, 7x=28 or x=4.

Answer 2

Answer with Step-by-step explanation:

We have to determine the value of x on solving the system of linear equations:

2x-y = 11

x+3y = -5

2x-y=11

Adding y on both sides and subtracting by 11 on both sides, we get

y=2x-11

Putting value of y in x+3y = -5

x+3(2x-11) = -5

x+6x-33 = -5

7x -33 = -5

adding 33 on both sides, we get

7x= 28

Dividing by 7 on both sides, we get

x=4

Hence, Correct option is:

d. 4