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bezimeni [28]
3 years ago
14

What is the solution of the system of equations? (_,_)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

0, 5

Step-by-step explanation:

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How do i figure out [(3x²y³)2] ³
dybincka [34]

Answer:

216x⁶y⁹

Step-by-step explanation:

[(3x²y³)2]³

[6x²y³]³

[6]³.[x²]³.[y³]³

216.x⁶.y⁹

216x⁶y⁹

6 0
2 years ago
Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
3 years ago
Solve the system of equations using substitution:<br> 6x – y = –15<br> X + 2y = 17
defon

Answer:

x = -1

y = 9

Step-by-step explanation:

jggchgcjgjcgjcgjcgjcgjcgjcgjc

3 0
3 years ago
A highly selective university will only admit students who place at least 2-zcores above the mean on the ACT that
Harrizon [31]

Answer:

30

Step-by-step explanation:

Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30

3 0
2 years ago
Please help me with this math problem, urgent please
Lady bird [3.3K]

Answer:

(X+2)(v-5)

Step-by-step explanation:

first, group and factor out the greatest common factor and combine to get (x+2)(v-5)

4 0
3 years ago
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