Question

Which of the following ordered pairs is a solution of the given system of linear equations?

x+1=y
2x-y=0
A. (1, –2)
B. (1, 2)
C. (2, 1)
D. (–2, 1)

Answer 1

Option B is correct

(1, 2)

Explanation:

Given the system of equation:

`x+1 = y` ......[1]

`2x-y = 0` ....[2]

We can rewrite [2] as:

2x = y ....[3]

Substitute this in [1] we have;

`x+1 =2x`

⇒
`1 = x`

or

x = 1

Substitute in [3] we have;

`y = 2(1) = 2`

∴Solution = (1, 2)

Therefore, the following ordered pairs is a solution of the given system of linear equations is, (1, 2)

Answer 2

substitute the equation x+1=y into the 2x-y=0 so you get 2x-(x+1)=0 once you do that out you get x=1 so you substitute x=1 back into one of the equations to find the y (1) +1=y so the answer is b. (1,2)