Question

Find one solution for the equation 2x-y =0

Answer 1

Answer:

if x = -1 then y =-2—(1)

if x =1 then y =2—(2)

2x-y= 0

OR 2x=y—(3)

x=y/2—(4)

Answer 2

(1, 2) is a solution of the given equation:  2x - y = 0.

Solution of Equation :

• The solution of any equation is the point that lies on the curve of that equation
• It is the point whose value when put in the equation variables, satisfies the equation.
• To find solutions to any equation, we can assume the value of one variable and use it in the equation to find the corresponding value of the other variable.

For the solution of the given equation, we have two variables i.e. x and y, but only one equation.

So, we assume a value of the x-coordinate. Let 'x' is 1.

We can find its corresponding y-coordinate value that satisfied the given equation :

                    $2x - y = 0\\2(1) -y=0\\y = 2$

Hence, x = 1 and y = 2 i.e. the coordinate point (1, 2) is a solution of the given equation. We can find other solutions, by assuming different values of x followed by their corresponding values of y.

Hence, (1, 2) is a solution of the given equation.

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