How many solutions does this system have?

y = three-fourths x minus 5. Negative 3 x + 4 y = negative 20.
one
two
an infinite number
no solution

Respuesta :

Answer:

There will be an infinite number of solutions.

Step-by-step explanation:

From the given system of equations, we have to find the solution.

The equations are

[tex]y = \frac{3}{4}x - 5[/tex] ........... (1) and  

- 3x + 4y = - 20 .......... (2)

Now, simplifying the equation (1) we get  

4y = 3x - 20

⇒ - 3x + 4y = - 20

which is nothing but the equation (2).

Therefore, the system of equations (1) and (2) are the same straight line.

Hence, there will be an infinite number of solutions. (Answer)

Answer:

Infinite

Step-by-step explanation:

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