Question

what is the solution of the pair of equations 2x - y = 6 and x+y = 9​

Answer 1

Answer:

x=5 is answer of question

Answer 2

Given: Two equations 2x-y = 6 and x+y=9 are given

To find: The solution to these pair of equations

Explanation: For finding a solution, we need to make the coefficient of either x or y similar in both equations, so that we can cancel it and find the solution of other variable.

Here, in 2x-y = 6 and x+y= 9 the coefficient of y is already similar and opposite to each other. We just need to add the equation and cancel y.

Adding equations,

2x+x = 6+9

=> 3x = 15

=>x = 5

Putting x = 5 in x+y= 9:

5+y = 9

=> y = 9-5

= 4

Therefore, the solution to pair of equations 2x-y= 6 and x+y = 9 is x= 5 and y= 4.