Which statement describes the system of equations?
(3x-4y=-35
(3x + 4y = 5

It has one solution (-5.5).

It has one solution (5, -5).

The system has no solution.

The system has infinitely many solutions.

Respuesta :

Answer:

one solution

Step-by-step explanation:

3x - 4y = -35

3x + 4y = 5

6x = -30

x = -5

3(-5) + 4y = 5

-15 + 4y = 5

4y = 20

y = 5

(-5, 5)

The system of equations has one solution (-5.5) which is correct option (A).

What is the equation?

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the independent variable is always one.

Given the system of equations as :

3x - 4y = -35

3x + 4y = 5

Addition the both equations

3x - 4y + 3x + 4y = -35 + 5

6x = -30

Divided by 6 both the sides,

x = -30/6

x = -5

Substitute the value of x =2 in the equation 3x + 4y = 5

So, 3(-5) + 4y = 5

-15 + 4y = 5

4y = 20

Divided by 4 both the sides,

y = 20/4

y = 5

So, It has one solution x = -5 and y = 5

Hence, the system of equations has one solution (-5.5).

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