
Multiply both sides by 3

Simplify the numerators

Multiply both sides by 6

Simplify the numerator

Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:

Plug in -6 for x

Change

to

so all denominators are the same

Change

to

for easier work

Subtract the numerators (4 - (-1) )

=

So,
x = -6 .
Answer:
(3,2)
Step-by-step explanation:
take negative from inside bracket as x and contant outside as y, and done
Answer:
Yes, because
is equivalent to 
Step-by-step explanation:
and 

Hope this helps!
Answer:
Step-by-step explanation:
Jasmine is baking and selling cupcakes for $15 per dozen.
Let x be the number of dozens of cupcake made by Jasmine.
Her total sales= Sales Per Dozen X Number of Dozens of cupcake sold
= $15 X x = $15x
Since she would like to make more than $120 in cupcake sales.
It means her total sales must be greater than $120.
15x>120
x>120/15
x>8
The number line attached represents the solutions to the situation.
All integers to the right of 8 (excluding 8) satisfies the situation.
Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>