Question

Write one solution of the equation 2x+y=10
a) x=2 , y=2
b) x=5 , y=0
c) x=7, y=-2
d) x=3 , y=3

Answer 1

Hint: To find the solution of the equation 2x+y=10 , consider a number from the options as x , put in the equation and try to find the value of y.

Complete step-by-step answer:
Given , the equation 2x+y=10 has a solution .
Now , to find the solution of the given equation , we can put one of the values from the given options as x and solve the equation .
Let us consider option a) x=2 , y=2
Therefore , let x be 2 .
Now , putting the value of x as 2 in the given equation , we get
2x+y=10
Now we substitute the value of 2 in the equation,
$\Rightarrow 2 \times 2+y=10$
Now multiplying we get,
$\Rightarrow 4+y=10$
Making y as the subject of the formula,
$\Rightarrow y=10-4$
$y=6$
But , y doesn’t satisfy the corresponding value of y in the option a) x=2 , y=2.
Thus , option a) x=2 , y=2 is not the correct option .
Let us consider option b) x=5 , y=0
Putting the value of x as 5 in the equation we get ,
2x+y=10
Now substituting the value of y in the equation we get,
$\Rightarrow 2\times 5+y=10$
Now on multiplying we get,
$\Rightarrow 10+y=10$
On making y as the subject of the equation,
$\Rightarrow y=10-10$
$\Rightarrow y=0$
Here , y matches the corresponding value of y in the given option b) x=5 , y=0
Thus , option b) x=5 , y=0 is the correct solution for the given equation 2x+y=10

Note: The solution of an equation is any value or set of values that can be substituted into the equation to make it a true statement . To find the solution of the given equation , one needs to put the values of x from the options in the equation and solve the equation for the value of y . If the value of y matches the corresponding value of y in the given options , then that particular option is the correct answer .