Question

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

Answer 1

Infinite

Explanation:

I took the quiz

Answer 2

There will be an infinite number of solutions.

Explanation:

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

The equations are

`y = (3)/(4)x - 5` ........... (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)