Find the radius pls. help
1 answer:
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Option A and B are correct.
Step-by-step explanation:
We are given the following systems of equation:
We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.
Checking the options:
a) Multiply the second equation by −2 to get −8x − 6y = −30
If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.
b) Multiply the first equation by 2 to get 4x + 12y = 24.
If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.
c) Multiply the second equation by −4 to get −16x − 12y = −60
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
d) Multiply the first equation by −4 to get −8x − 24y = −48.
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
So, Option A and B are correct.
Keywords: Solve System of equations
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Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.