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laiz [17]
4 years ago
5

How many solutions does the system formed by x-y=3 and ay-ax+3a=0 have for a nonzero number a? Explain.

Mathematics
1 answer:
RoseWind [281]4 years ago
4 0
There's no solution that is nonzero.
x-y=3
x = 3+y

Substitute that to the second equation.
ay-a(3+y)+3a=0
6a=0
a=0

y = x-3

Substitute that to the second equation
a(x-3)-ax+3a=0
0 = 0
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Because Point X Will Change After Point Y Changes

Step-by-step explanation:

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3 years ago
Which of ordered pairs is not a function ?
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What is the probability of spinning a 3 on the spinner below?
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5 0
3 years ago
kins age is twice that of her sister when you add kims age to her sisters you get 24 how old is each sister (a)write a equation
zimovet [89]

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it. 

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

Please give Brainliest!

8 0
3 years ago
Read 2 more answers
What is the answer to 10-(8p+3)=9(2p-5) ?
aniked [119]

Use distribution.
10 - (8p + 3) = 10 - 8p - 3 = 7 - 8p
9(2p - 5) = 18p - 45

So...
-8p + 7 = 18p - 45
Subtract 7 from both sides
-8p = 18p - 52
Subtract 18p from both sides
-26p = 52
Divide both sides by -26.
p = -2

There's your answer :D

6 0
4 years ago
Read 2 more answers
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