x+y=2, 6x+y=2

Question

Solve using equal values method x+y=2 6x+y=2

Answer 1

Equation 1: x + y = 2

 

Equation 2: 6x + y = 2

 

Multiply Equation 1 by negative one:

 

-1 (x + y) = 2 (-1)

 

New Equation 1: - x - y = -2

 

Line up Equation 1 and Equation 2 and add them to solve for x:

 

-x - y = -2

+

6x + y = 2

_________

 

-1x + 6x = 5

 

-y + y = 0 which cancels out

 

-2 + 2 = 0

 

now you have 5x = 0

 

x = 0

 

Now plug in x = 0 into Equation 1 or 2 to solve for y.

 

Let's take Equation 2: 6 (0) + y = 2 

 

0 + y = 2

 

y = 2