Question

Describe in paragraph form how to solve this system using elimination.
x + 2y = 10
2x +3y = 16

Answer 1

multiply the top equation by -2

this way the x becomes -2x

when you combine the equation you'll see that the -2x and 2x cancel out and then you only have y to solve for

Answer 2

You could use substitution or addition method.

I prefer substitution. Rerrange one of your equations in the form

y = ax+n
or
x = by +n

then use that to substitute in for "x" or "y" into your secod equation.

Answer 3

You should have only one variable in your equation now (only x's or only y's - depending what variable you decided to substitute). Then solve for that variable. and plug in ur value into equation one and solve for the 2nd variable.

Answer 4

(-2)x + 2y = 10
2x +3y = 16

so it becomes -2x -4y = -20

now you have

-2x -4y = -20 and
2x +3y = 16

now add the 2 equations

-2x + 2x? = 0

-4y + 3y? -1y or just -y

-20 + 16? -4

so you have -y = -4

or y = 4

now subthat 4 in wherever you see y in either equation and solve for x :)

Answer 5

Thank you!! :)

Answer 6

anytime :) glad to help :)