Question

Solve the system
x+3y=22
2x-y=2

Answer 1

it will equal (4,6) for x and y

Answer 2

Answer: The required solution is (x, y) = (4, 6).

Step-by-step explanation: We are given to solve the following system of equations :

`x+3y=22~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

From equation (ii), we have

`2x-y=2\\\\\Rightarrow y=2x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)`

Substituting the value of y from equation (iii) in equation (i), we get

`x+3(2x-2)=22\\\\\Rightarrow x+6x-6=22\\\\\Rightarrow 7x=22+6\\\\\Rightarrow 7x=28\\\\\Rightarrow x=(28)/(7)\\\\\Rightarrow x=4.`

From equation (i), we get

`4+3y=22\\\\\Rightarrow 3y=22-4\\\\\Rightarrow 3y=18\\\\\Rightarrowy=(18)/(3)\\\\\Rightarrow y=6.`

Thus, the required solution is (x, y) = (4, 6).