The solution to the system of equations is x=4 and y=2.
Let's solve the system of linear equations using the substitution method.
Here are the given equations:
x+y=6
x−y=2
We can start by solving one of the equations for one variable and then substituting that expression into the other equation.
From equation (2), let's solve for
x=y+2
Now, substitute this expression for x into equation (1):
(y+2)+y=6
Combine like terms:
2y+2=6
Subtract 2 from both sides:
2y=4
Divide by 2:
y=2
Now that we have the value for
y, substitute it back into the expression for
x we found earlier:
x=2+2=4
So, the solution to the system of equations is x=4 and y=2.
Question
Find an answer to your question solve the pair of linear equations by substitution method x+y=6,x-y=2.