I need someone to explain how to solve this problem.

What is the solution of the following system?

3x + 3y = 10
-9x - 9y = -30

Question

I need someone to explain how to solve this problem.

What is the solution of the following system?

3x + 3y = 10
-9x - 9y = -30

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

multiply first equation by -3
what do you get ?

anonymous · Answer

Multiply all numbers by 3?

anonymous · Answer

@satellite73

ganeshie8 · Answer

yes multiplying an equation both sides by a number will not change the equation

anonymous · Answer

Ok, so how would I get the -3?

ganeshie8 · Answer

take first equation
$$3x + 3y = 10$$

multiply both sides by "-3", you get
$$(-3)3x + (-3)3y = (-3)10$$
simplying gives
$$-9x-9y =-30$$

ganeshie8 · Answer

which is exactly same as the second equation

anonymous · Answer

Ahh, ok.

ganeshie8 · Answer

in light of that observation, what do you conclude ?

ganeshie8 · Answer

can we conclude that both the given equations represent the same line ?

anonymous · Answer

The solution to the system is -3. And yes we can seeing as though the first equation is equal to the second.

ganeshie8 · Answer

the solution is not -3

ganeshie8 · Answer

both the lines are same so there will be many many infinitely many solutions

anonymous · Answer

Oh ok ok. Thank you for helping me. I was at a loss.

ganeshie8 · Answer

yw!