Question

3x-4y=9
-32+2y=9

Answer 1

What's your goal here?

Answer 2

i have to solve it by using systems of elimination

Answer 3

3x-4y=9
-3x+2y=9
this is the problem, right ? (Look at what you wrote) .

Answer 4

yes thats how i wrote it and it showed up like that

Answer 5

\(\LARGE\color{blue}{ \bf 3x-4y=9 }\)
\(\LARGE\color{blue}{ \bf -3x+2y=9 }\)

subtract the second equation from the first equation.

\(\LARGE\color{blue}{ \bf 3x-4y=9 }\)
\(\LARGE\color{blue}{ \bf -3x+2y=9 }\)
\(\LARGE\color{blue}{ \bf \text{──────────} }\)
\(\LARGE\color{blue}{ \bf 0x-6y=0 }\)

\(\LARGE\color{blue}{ \bf -6y=0 }\)
\(\LARGE\color{blue}{ \bf y=0 }\)

can you solve for x from here ?

Answer 6

Note how the first term of each equation "disappears," after we intentionally tried to eliminate it. This process is "elimination by addition/subtraction.
The resulting equation is in y only. Find y.
Last, use either of the original equations to find x.
Write your solution in the form (x,y).