Question

What is the solution to the system of equations?

x+y=4 x-y = 6

Answer 1

(5, -1)

Explanation:

x+y=4

x-y = 6

Add the two equations together to eliminate y

x+y=4

x-y = 6

-----------------

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Then substitute 5 into one of the equations to solve for y

x+y =4

5+y =4

Subtract 5

5-5+y =4-5

y =-1

Answer 2

(5,-1)

Explanation:

x+y=4

x-y = 6

Add the two equations together to eliminate y

x+y=4

x-y = 6

-----------------

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Then substitute 5 into one of the equations to solve for y

x+y =4

5+y =4

Subtract 5

5-5+y =4-5

y =-1