<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>
Answer:
<em>x = -9</em>
<em>y = 2</em>
Step-by-step explanation:
<u>Solve the system:</u>
2x + 3y = -12 [1]
2x + y = -16 [2]
Subtracting [1] and [2]:
3y - y = -12 + 16
2y = 4
y = 4/2 = 2
From [1]:
2x + 3(2) = -12
2x + 6 = -12
2x = -18
x = -18/2 = -9
Solution:
x = -9
y = 2
Answer:
and 
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.

Where d = daises and r = roses
Convert the above expression to an equation

Make k the subject

When d = 5 and r = 2;


So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:

----------- (1)
Make r the subject in (1)
------------------------(2)
Hence, the relationships between d and r are:
and 
Answer:
27y - 6
Step-by-step explanation:
3(9y - 2) Multiply 3 times each term in the parentheses
3 * 9y = 27y
3 * -2 = -6
Answer:
slope of parallel line and perpendicular line are 5 and -1/5 espectively
equation of parallel and perpendicular line are y = 5x + 22
respectively
Step-by-step explanation:
y = 5x - 4 is in the form
y = mx + c
where m is the slope of the line and c is the y intercept of thr line
therefore slope of the line = 5 and y intercept = -4
when an another line is parallel to the given line then the slope of both the lines are equal
therefore the slope the parallel line = 5
equation of a line passing through a given point
with slope m is given by 
given
= (-4,2)
therefore equation of line y-2 = 5(x+4)
therefore y = 2+ 5x+20
y = 5x + 22is the eqaution of required line.
when two lines are perpendiculer then

where
are slope of the lines therefore
m×5=-1
therefore m= 
therefore eqaution of line passing through (-4,2) and with slope m=
is given by 
If it is irrational, you won’t be able to write it as a ratio.
Also, if you are able to write the fraction as x/y then it is, in fact, rational.