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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

2 Answers

3 votes

Answer:

Infinite

Explanation:

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User Bernita
by
3.4k points
2 votes

Answer:

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)

User Traxxus
by
3.9k points