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

User Sam Holder
by
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2 Answers

7 votes

Answer:

Infinite Solution

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= (-30+9y)/(-9)



x= (-10+3y)/(-3)


Putting this value of x in equation (B)



3( (-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 .

User Danglebz Highbreed
by
7.6k points
1 vote

Answer:

Infinite number of solutions.

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.

User Lannyboy
by
7.1k points

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