Question

What is the solution to this system of equations?

{x+y=6x=y+4

Answer 1

The solution to this system of equations is x = 5 y = 1

Explanation:

First substitute x + y into 4

{ y + 4 + y = 6 }

Then simplify

{ 2y + 4 = 6 }

The isolate y for 2y + 4 = 6 then y = 1

Then you get x = y + 4

then you substitute 1 into y

x = 1 + 4

Simplify (add)

x = 5

And now x = 5 and y = 1

Answer 2

x= 4

y= 20

Explanation:

x+y= 6x

x-x+y=6x-x

y=5x

we use substitution

6x=y+4

6x=5x+4

6x-5x = 5x-5x+4

x= 4

solving for y we get 20