Question 231232
x + y = 14
-7x + 7y = -14


Solve for y in the first equation to get:


y = 14 - x


Substitute for y in the second equation to get:


-7x + 7 * (14-x) = -14


Solve for x.


Remove Parentheses to get:


-7x + 7*14 - 7x = -14


Combine like terms to get:


-14x + 7*14 = -14


subtract 7*14 from vboth sides to get:


-14x = -14 - 7*14


Simplify and combine like terms to get


-14x = -112


Divide both sides by -14 to get:


x = 8

Now that you have x = 8, go back to your first equation and solve for y


Your first equation is:


x + y = 14


Replace x with 8 to get:


8 + y = 14


Solve for y to get y = 6


You have:


x = 8
y = 6


Substitute in second equation to get:


-7*8 + 7*6 = -14


This becomes -56 + 42 = -14 which becomes -14 = -14 which is true.


Values of x = 8 and y = 6 are good.