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AleksandrR [38]
4 years ago
15

What is the solution to the system of equations 3x+2y=39 5x-y=13

Mathematics
2 answers:
muminat4 years ago
7 0

Solve: 3x + 2y = 39; 5x - y = 13


I will try to solve your system of equations:

5x - y = 13; 3x + 2y = 39


Solve 5x - y = 13 for y:


5x - y + - 5x = 13 + - 5x (add - 5x to both sides):


- y = - 5x + 13


- y/ - 1 = - 5x + 13/ - 1 (Divide both sides by - 1):



y = 5x - 13



Substitute 5x - 13 for y in 3x + 2y = 39


3x + 2y = 39


3x + 2(5x - 13) = 39


13x - 26 = 39 (Simplify both sides of the equation)


13x - 26 + 26 = 39 + 26 (Add 26 to both sides):


13x = 65


13x/13 = 65/13 (Divide both sides by 13)


x = 5




Substitute 5 for X in Y = 5x - 13


y = 5x - 13


y = (5)(5) - 13


y = 12 (Simplify both sides of the equation):



Answer: y = 12 and x = 5






Hope that helps!!!!! (Answer: y = 12 and x = 5).



Vadim26 [7]4 years ago
4 0

Hiya. I'm going to rewrite the second equation.

By subtracting 5x by both sides, I'll be able to have y by itself:

-y=-5x+13

I'm going to then divide both sides by -1 to get:

y=5x-13.


Then, I'm going to plug that equation into the first equation

3x+2(5x-13)=39

Factor:

3x+10x-26=39

Combine like terms:

13x=65

Divide both sides by 13 to get x by itself to get x=5


Plug this back into the equation of y=5x-13

y=5(5)-13 to get y=12

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EleoNora [17]

Answer:

El precio de la entrada al cine es de <em>$56</em>

Step-by-step explanation:

Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28  ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:

                                           

                                                 28 x 2 =$56

El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.

Entonces podemos hacer la siguiente relación matemática: <em> Precio total de las palomitas dos veces por semana = Precio de la entrada a cine</em>.

7 0
3 years ago
For what values of x is the rational expression below undefined? x-7/x^2-7x-8
alekssr [168]
We have

f(x)=(x-7)/(x²<span>-7x-8)

resolving the quadratic equation
using a graph tool-------- > see the attached figure
x=-1  x=8
therefore
</span>(x-7)/(x²-7x-8)=(x-7)/[(x+1)*(x-8)

the answer is  -1  and  8



5 0
3 years ago
How many solutions does this equation have?
maxonik [38]

Answer:

No solutions

Step-by-step explanation:

The lines are parallel.

5 0
3 years ago
Read 2 more answers
Determine the intercepts of the line.
sergey [27]

Answer:

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Step-by-step explanation:

The y-intercept is found by setting x=0 and dividing by the coefficient of y.

  0 +2y = 5

  y = 5/2

The x-intercept is found by setting y=0 and dividing by the coefficient of x.

  3x +0 = 5

  x = 5/3

The intercepts are ...

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

3 0
3 years ago
Read 2 more answers
Write the prime factorization for 65,169
posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

6+5+1+6+9=27=3\cdot 9

So, we can divide the number by 3 and keep going with the factorization:

65169\div 3 = 21723

This number is again divisible by 3, because

2+1+7+2+3 = 15 = 3\cdot 5

We have

21723\div 3 = 7241

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

7241\div 13 = 557

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

3^2\cdot 13 \cdot 557

8 0
3 years ago
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