Answer:
(x, y) = (-6, -4)
Step-by-step explanation:
The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.
_____
If you like, you can solve the system algebraically. The second equation can be rewritten to give ...
y = x +2
Substituting this into the first equation gives ...
5/3x -2(x +2) = -2
-1/3x -4 = -2
Adding 4 and multiplying by -3 gives ...
x = -3(-2+4) = -6
Then our equation for y tells us ...
y = -6 +2 = -4
The solution is (x, y) = (-6, -4).
When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] <span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span></span>
Some people write this formula with <span><span>100%</span><span>100%</span></span>
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
<span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span></span>
Recall that <span><span>100%=100⋅<span>1100</span>=1</span><span>100%=100⋅<span>1100</span>=1</span></span>
.
So, <span><span>100%</span><span>100%</span></span>
is just the number <span>11</span>
!
Multiplying by <span>11</span>
doesn't change anything except the name of the number!
Hope this helps
Y - y₁ = m(x - x₁)
y - 1 = 52(x - (-6))
y - 1 = 52(x + 6)
y - 1 = 52(x) + 52(6)
y - 1 = 52x + 312
+ 1 + 1
y = 52x + 313
Hmm...this is difficult. The first thing I can think of is the relationship between age and time.