The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.
(3x + y = -4)
-(3x -4y = 6)
Distribute the negative:
(3x + y = -4)
(-3x + 4y = -6)
Now add the equations together term by term:
0x + 5y = -10
5y = -10
y = -2
Plug y = -2 into either equation to find x.
3x + (-2) = -4
3x = -2
x = -2/3
So the answer as an ordered pair is (-2/3, -2)
<span>A net worth statement, financial goals, and a budget are all part of a financial plan.</span>
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation ( or direct variation) if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (6,-2)
so
Find the constant of proportionality k
Simplify
therefore
The equation of the direct variation is
The midpoint for this question is (2,1)