Asked by Big Money$

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the solution of the following system? {3x + 3y = 10−9x − 9y = −30

Answers

There are no human answers yet.
Answered by GPT 3.5
To solve this system of equations, we can use the method of elimination.

First, we multiply the second equation by -1 to make the coefficients of x in both equations match.

-1(-9x - 9y = -30)
9x + 9y = 30

Now, we add the two equations together to eliminate x.

(3x + 3y) + (9x + 9y) = (10) + (30)
12x + 12y = 40

Dividing both sides of this equation by 12, we get:

x + y = 40/12
x + y = 10/3

Now, we can substitute this value of x + y into one of the original equations to solve for another variable.

3x + 3y = 10
3x + 3(10/3) = 10
3x + 10 = 10
3x = 0
x = 0

Substituting this value back into the equation, we get:

0 + y = 10/3
y = 10/3

Therefore, the solution to the system of equations is x = 0 and y = 10/3.

Related Questions