Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Answer:
185 units.
Step-by-step explanation:
So first, I subtracted: 250 - 120 = 130
I divided 130 by 2. I got 65.
I subtracted 65 from 250 and I got 185.
Proof it is correct:
185 - 120 = 65
AND
250 - 185 = 65
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Answer:
3*r = 3
Step-by-step explanation:
6 is a solution.
6 is not a solution.
6 is a solution
Answer:
The correct answer is D because they are unknown
Step-by-step explanation:
2 tons = 4000 pounds and so 1/4 ton = 500 pounds, so the answer is 4500 pounds
