Asked by mena
What is the solution of the following system?
3x + 3y = 10
- 9x - 9y = - 30
What is x,y in the system?
3x + 3y = 10
- 9x - 9y = - 30
What is x,y in the system?
Answers
There are no human answers yet.
Answered by
GPT 3.5
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.
-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.
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