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Blizzard [7]
4 years ago
8

Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3

. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36

6x + 2.5y = 24
Mathematics
2 answers:
joja [24]4 years ago
6 0
The answer 

9x + 4y = 36           (times 2) implies      18x + 8y = 72     (a)<span>

6x + 2.5y = 24        </span>(times -3) imiplies    18x + 7.5y =72   (b)

so (a) - (b)            8-7.5)y=0, and y=0

when y=o  18x + 8. 0= 72 implies x =4

so the solution is (4,0)
diamong [38]4 years ago
5 0
After multiplying by the stated coefficients and adding, the equation obtained is:
8y - 7.5y = 0
y = 0
x = 4

Because the two equations formed were independent, they had one solution.
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To find the value of x, we can actually simplify this thing down using the property that ln(e) = 1. You can think of it as "What power do I need to raise e to, to get e^5?" Let's do that:
x = lne^5 = 5

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The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.
densk [106]
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3 years ago
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Jonah found that the equation -2|8-6|-6=-12
svetoff [14.1K]

Answer:

False equation:   -2|8 - 6| - 6 = -10

Step-by-step explanation:

-2|8 - 6| - 6 = -12                True or false?

-2 | 2| - 6 = -12                    Substract 8 - 6 = 2

-2 × 2 - 6 = -12                    |2| = 2  absolute value of 2 is 2

- 4 - 6 = -12                         -2 × 2 = -4 ( negative times positive = negative)

 -10 = -12                            False

7 0
3 years ago
Between which two consecutive integers does √53 lie?
GREYUIT [131]
Hey there :)

We can solve 2 ways: With a calculator and Without

With:
√53 = 7.28

Therefore this lies between 7 and 8

Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7

7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8

Your answer will be option B) 7 and 8
8 0
3 years ago
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