What is the equation 8x-3y=6-4x in Stanford form?
1 answer:
Answer:
Step-by-step explanation:
Standard form is written this way:
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: .
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We will have 2 different equations that we will combine into 1, but we need to find the 2 k values first. If a is directly proportional to b, then a = kb. When a = 2 and b = 5, then k = 2/5. Store that for a minute. Now onto the second equation to find the other k value. If a is inversely proportional to c, then a=k/c. If a = 2 when c = 9, then k = 18. We will now use the transitive property: if a=kb and a = k/c, then kb=k/c. The k on the left is 2/5 and we are told that b = 3; the k on the right is 18 and we are looking for c. So here is what we have: 
and 
. Cross multiply to get 6c = 90 and c = 15.
Attached is how you would work this problem out.
