To find the solution to the system of equations, we can use the method of elimination. Let's start by multiplying the first equation by -3 and the second equation by 1 to eliminate the x terms:
-3(3x + 3y) = -3(10)
9x + 9y = 30
1(-9x - 9y) = 1(-30)
-9x - 9y = -30
Now we can add the two equations together to eliminate the y terms:
(9x + 9y) + (-9x - 9y) = 30 + (-30)
0 = 0
We are left with 0 = 0, which means that the two equations are equivalent and describe the same line. This means that the system has infinitely many solutions. In other words, any value of x and y that satisfies one equation will also satisfy the other equation.
What is the solution of the following system?
3x + 3y = 10
- 9x - 9y = - 30
What is x,y in the system?
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