2x + y = 7 ---> ( 1st equation ) -x + y = 1 ---> ( 2nd equation)
Let's solve this problem by substitution method So let's set 2nd equation to y equals -x + y = 1 ---> ( 2nd equation) adding x on both sides y = 1 + x ---> (3rd Equation )
Substituting the value of y in equation 1 2x + x + 1 = 7 subtracting 1 from both sides 2x + x = 6 adding like terms on the left side 3x = 6 dividing both sides by 3 x = 2
Substituting the value of x in 2nd equation -x + y = 1 -2 + y = 1 adding 2 on both sides y = 1 + 2 y = 3
So, our answer is x = 2 y = 3
To check the answer pick any equation and substitute the values of x and y check check if it is equal to Right hand side 2(2) + 3 = 7 ( substituting in 1st equation) 4 + 3 = 7 7 = 7
