Answer:
x = 4
, y = 3
Step-by-step explanation:
Solve the following system:
{2 x - 3 y = -1 | (equation 1)
y = x - 1 | (equation 2)
Express the system in standard form:
{2 x - 3 y = -1 | (equation 1)
-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - 3 y = -1 | (equation 1)
0 x - y/2 = (-3)/2 | (equation 2)
Multiply equation 2 by -2:
{2 x - 3 y = -1 | (equation 1)
0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 4
, y = 3
So, look:
36*4 = 144
There are 145 quarters in all.
And in nickels, there are:
144 * 5 = 720 + 5 = 725
There are 725 nickels in all.
Dimes: 144 * 10 = 1440 + 10 = 1450 (or you could do 145 * 10 and still get 1450. Like I did in the nickels and everything. :) )
= 1450 dimes
I hope this helps!
Given the following question:
First expression:
Second expression:
<span>The first thing to do here is simplify both sides. X=4/9 is simplified, but you can simplify the other side by canceling out the (x-2) in the numerator and denominator.
</span><span>The expression should be (x + 4)(x - 2)/9(x - 2)= (x + 4)/9. After simplification by (x - 2) , the remainder is (x + 4)/9. When x = -4, both sides equal to zero When x = 0 , both sides equal to 4/9
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
