Use elemination to solve the system of equations: x+6y=10 and x+5y=9

Answer 1

x+6y=10 and x+5y=9

x is the same in both. Line them up in columns (just like back in Elementary school Subtraction):

x + 6y = 10

(-) x + 5y = 9

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y = 1

Answer 2

Hello, Hime,

Let's rearrange the first equation to: x = 10-6y. This tells us the value of x as a funtion of y.

We can substitute this expression for x in the second equation.

x+5y=9

Now use x=10-6y for x:

(10-6y)+5y=9

9y=9

y=1

Now use y=1 to find x:

x = 10-6y

x = 4

The point (4,1) is where these two lines meet and is therefore the solution to both equations.

Bob