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

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)

Answer 2

Answer:

Option B is correct

(1, 2)

Step-by-step 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)