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Triss [41]
3 years ago
11

Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Equation 1 is \frac{4}{3}x -\frac{2}{5}y =2 ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15

20x - 6y = 30

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

-9x+6y = 3

Add both the equations

20x -9x -6y +6y = 30+3

11x= 33

Divide both sides by 11

x=3

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

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Step-by-step explanation:

We have to have 2 different equations to solve this.  One equation will represent the number of tickets sold while the other represents the money collected when the tickets were sold.

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That's the "number of tickets" equation.  Let's call adult tickets "a" and children's tickets "c".  So a + c = 2200

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