Question

What is the solution to the following system? 3x+3y=10 -9x-9y=-30

Answer 1

Answer:

Infinite number of solutions.

Step-by-step explanation:

We have the equations,

1. 3x+3y=10

2. -9x-9y= -30

Now, if we multiply equation 1 with -3, we will obtain equation 2.

i.e. -3×(3x+3y)= -3×10

i.e. -9x-9= -30

So, we see that both the equations are same.

The equation 3x+3y=10 will have solution for many values of x and y.

Hence, the system will have infinite number of solutions.

Answer 2

Answer:

Infinite Solution

Step-by-step explanation:

Given :

$3x+3y=10$  -----(A)

$-9x-9y = -30$  ------(B)

To Find : Solution of the given system of equations

Solution :

We will solve it by using substitution method

Finding the value of x from equation (B)

⇒$-9x-9y = -30$

⇒$-9x= -30+9y$

⇒$x= \frac{-30+9y}{-9}$

⇒$x= \frac{-10+3y}{-3}$

Putting this value of x in  equation (B)

⇒ $3( \frac{-10+3y}{-3})+3y=10$

⇒$10-3y+3y = 10$

⇒$10= 10$

Since x and y both gets eliminated from the equation we got 10 = 10

Since the equations represent the same line.

If a consistent dependent system that has an infinite number of solutions

Hence there is infinite solution .