Step-by-step explanation:
Let's represent the number of mochas bought with the variable
, and the number of lattes bought with the variable
.
Since there are
students, the total number of mochas and lattes bought must be
. This can be represented with the following equation:

We can also set up another equation based on the total amount spent on the coffe:

If we rearrange the first equation, we can solve for
:

If we substitute this into the second equation, we can solve for
:





Subtituting this back into the original equation, we can solve for
:



Therefore, 9 mochas and 14 lattes were bought.
Answer:
y² = x² - z²
Step-by-step explanation:
x² - y² = z²
Transpose y the other side
x² - z² = y²
or
y² = x² - z²
Answer: A, C, D
If you try plugging in a few different numbers into these equations, you will get only 1 result.
:)
All you dois times it three times
Answer: -2
Step-by-step explanation:
3x+2y=16
x+y=4 multiply by -2
-2x-2y=-8
3x+2y=16 ------a
-2x-2y=-8 -------b
Add equation a and b
(3x+-2x)+(2y+-2y) = 16+(-8)
x+0=8 (y has been eliminated)