How many solutions are there in x + 2 y = 5 and 2 x − 2 y = 4 ?

Adding the two equations, you get that 3x=9, so x=3. Since there is only one value of x, there is only one solution.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.