Question

what is the solution of equations? 6x-2y=4 -9x+3y=12

Answer 1

are you familiar with the elimination method ?

Answer 2

no @texaschic101

Answer 3

please explain

Answer 4

6x - 2y = 4
9x + 3y = 12

what you are trying to do is eliminate a variable in the equation by making the coefficients cancel each other out. We can do this by multiplying.

6x - 2y = 4 -->(3)
9x + 3y = 12 -->(2)
---------------
18x - 6y = 12 (result of multiplying by 3)
18x + 6y = 24 (result of multiplying by 2)
----------------add
36x = 36
x = 1

you understand so far ?

Answer 5

yess

Answer 6

now we are going to sub 1 in for x in either of the original equations
6x - 2y = 4
6(1) - 2y = 4
6 - 2y = 4
-2y = 4 - 6
-2y = -2
y = 1

now we can check our answers by subbing in known values into either of the original equations.
9x + 3y = 12
9(1) + 3(1) = 12
9 + 3 = 12
12 = 12 (correct)

If the answer comes out equal, then it is correct.

x = 1 and y = 1 or (1,1)

Answer 7

any questions ?

Answer 8

no thanks

Answer 9

:)