Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11
with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11
Yes, the answers are the same :)
Answer:
slope = 3, point = (6, -2)
Step-by-step explanation:
This is in point-slope form which looks like this : y-y1 = m(x-x1).
m is the slope, an x1 and y1 are the x and y coordinates of the point. Remember to flip the sign of the numbers for the points i.e. the y+2 in the equation becomes -2 for the point.
I dont know how to delete a answer and i got it wrong apparently so sorry
Hello there! The answer is the first option, 31/55.
To solve this, we don't even need to do any math. Note that fractions with the same numerator and denominator will be equal to 1.
Knowing this and looking at our second and fourth options, 55/55 x 111 and 31/31 x 111, these problems are the same as 1 x 111, which results in 111, which is not less than, leaving us with the third and first options.
The third option is 55/31, meaning we have more than a whole, so we are multiplying by a number greater than 1, making our answer over 111 and this option not correct.
This leaves the first option as your answer!
