Answer:
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Answer:
<u><em>For x - y = 2</em></u>
You need to find x or y in one of the equations and then substitute that into the other.
So we have;
x-y=2
4x-3y=11
We will take the first equation and find x;
x-y=2
add y to both sides;
x-y+y=2+y
x=2+y
Now we take that answer and substitute it forx in the other equation;
4(2+y)-3y=11
8+4y-3y=11
8+y=11
y=3
Now we have what y equals, so we use it in the first equation to find x;
x-3=2
x=5
So we have;
x=5; y=3
Hope you understand!
=)
<u><em>And for 4x – 3y = 11</em></u>
Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:
8x - 6y = 22 ...(3)
30x + 6y = -3 ...(4)
Now add (3) and (4) term by term:
38x + 0 = 19
or
38x = 19
or x = 1/2
Put this back into equation (1)
4*(1/2) - 3y = 11
or
2 - 3y = 11
Subtract 2 from both sides:
-3y = 9
Divide both sides by -3
y = -3
AFB, the sides are similar
(x^2 - 1)(x^6 + x^4 + x^2) =
x^2(x^6 + x^4 + x^2) - 1(x^6 + x^4 + x^2) =
x^8 + x^6 + x^4 - x^6 - x^4 - x^2 =
x^8 - x^2 <==
The budget of Van for groceries for 1 week is:
12 $ (per a weekday) * 5 (weekdays) + 15 $(per a weekend day) *2 (weekend days) = 60$ +30$ = 90$
The budget of Van for w weeks is:
90 $ (per week) * w (weeks) = 90w dollars.
Answer: 90w $
