I need help on how to do these
3y=6x-18
7y=6x+6
How would i do this and put the answer in an ordered pair
3y=6x-18
7y=6x+6
How would i do this and put the answer in an ordered pair
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To do this, you would use elimination, which you may or may not have learned yet.
For neatness's sake, let's put 7y=6x+6 on top first.
7y=6x+6
3y=6x-18
So first you can see that they both have a 6x. Math properties make it so that a positive equation equals the same thing negative. Therefore, 3y=6x-18 is the same as -3y=-6x+18.
This is the neat part.
7y=6x+6
-3y=-6x+18
What do we see here? We see a positive 6x and a negative 6x. With elimination, we add the problem from top to bottom: 7y-3y=4y, 6x-6x=0, 6+18=24.
4y=24
We divide...
y=6
Then we go back to one of the original problems. Since we know y, we can substitute.
18=6x-18
We add eighteen to both sides.
36 = 6x
Divide.
x = 6
The answer is (6,6).
hope i helped!
For neatness's sake, let's put 7y=6x+6 on top first.
7y=6x+6
3y=6x-18
So first you can see that they both have a 6x. Math properties make it so that a positive equation equals the same thing negative. Therefore, 3y=6x-18 is the same as -3y=-6x+18.
This is the neat part.
7y=6x+6
-3y=-6x+18
What do we see here? We see a positive 6x and a negative 6x. With elimination, we add the problem from top to bottom: 7y-3y=4y, 6x-6x=0, 6+18=24.
4y=24
We divide...
y=6
Then we go back to one of the original problems. Since we know y, we can substitute.
18=6x-18
We add eighteen to both sides.
36 = 6x
Divide.
x = 6
The answer is (6,6).
hope i helped!
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3y=6x-18
7y=6x+6
the easiest way is to make both equal to 6x,
then combine and solve.
6x = 3y-18 and 6x = 7y - 6
7y - 6 = 3y-18
subtract 3y to give
4y -6 = -18
add 6
4y = -12
y = -3
substitute into 3y=6x-18 to give -12 = 6x - 18
add 18
6 = 6x
x = 1
solution as an ordered pair is ( 1,-4).
7y=6x+6
the easiest way is to make both equal to 6x,
then combine and solve.
6x = 3y-18 and 6x = 7y - 6
7y - 6 = 3y-18
subtract 3y to give
4y -6 = -18
add 6
4y = -12
y = -3
substitute into 3y=6x-18 to give -12 = 6x - 18
add 18
6 = 6x
x = 1
solution as an ordered pair is ( 1,-4).
-
7y = 6x +6
3y = 6x -- 18
Subtract you get 4y = 24 whence y = 6
6x + 6 = 7y becomes 6x + 6 = 7(6) OR 6x = 36 whence x = 6
x = 6, y = 6
3y = 6x -- 18
Subtract you get 4y = 24 whence y = 6
6x + 6 = 7y becomes 6x + 6 = 7(6) OR 6x = 36 whence x = 6
x = 6, y = 6