Question

Help?
Solve the following system and show all of your work.

x - 2y = 14

x + 3y = 9

Answer 1

x- 2y = 14
x+3y = 9 - original equation


need a common factor to cancel x to to solve for y though the cancelling of terms . -1 is good. So I'll use it

x-2y = 14
(-1) x +3y = 9(-1) - Multiplying a negative number to one of the equation to both sides of it to change a variable from a negative value to a positive one or vise verse to cancel one of the terms to solve for the other though the addition of terms

x -2y = 14
-x-3y= -9
---------------- - Multiplication and addition of terms
0x -5y = 5

-5y = 5 - Addition

1/-5* -5y = 5 * 1/-5 - Multiplying the reciprocal of a coefficient to both sides of the equation to solve for y

y = 5/-5 - Multiplication

y = -1 - Division

let solve for x

x-2y = 14 - one of the original equations

x - 2(-1) = 14 - substituting y with -1

x + 2 = 14 - Multiplication

x + 2 -2 = 14- 2 - Adding the additive inverse of a number to both sides of the equation to move it to the other side of it

x= 12 - Addition

proof:

x- 2y = 14
x+3y = 9 - original equation



12-2(-1) = 14
12+ 3(-1) = 9 - substituting y and x with -1, and 12

12+ 2 = 14
12-3 = 9 - Multiplication

14 = 14
9 = 9 - Addition

it checks and equals

I hope this helps

Answer 2

oh man its difficult to do it here

Answer 3

Thanks. I've been stuck on this problem for like 2 days lol.

Answer 4

np