3x - 6y = -2
-6y = -3x - 2, divide through by -1
6y = 3x + 2, divide through by 6
y = 3x/6 + 2/6
y = x/2 + 1/3
Letter c is an operation.
Addition
get a common denominator which is 24
3 7/8 = 3 21/24
6 /4 = 6 6 /24
3 21/24 - 6 6 /24
big number minus small number take sign of larger
6 6/24
- 3 21/24
-------------
5 30/24
3 21/24
--------------
2 9/24
2 3/8
the sign of the larger is negative
-2 3/8
I solved 2/5(x − 2) = 4x. I don't know why you included those extra numbers.
<u>-2/9</u>
Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
