Answer:
y = -2/3
x = 2 1/9
Explanation:
First let's write out the equation:
5y = 3x - 9
3x + 4y - 3 = 0
To find the answer using elimination, you must get subtract or add the opposite values in the equation so you are left with only one variable:
5y - 3x = - 9
4y + 3x = 3
Since we've aligned both positive 3x and negative 3x, let's now add all of the corresponding values of the equation:
9y + 0 = -6
9y = -6
Final steps to solve:
y = -6 ÷ 9
y = -2/3
No that we know the value of y, we must find the value of x as well. To do this, we will plug the value of y into one of our previous equations:
5y = 3x - 9
5 * (-2/3) = 3x - 9
-10/3 = 3x - 9
- 3 1/3 = 3x - 9
6 1/3 = 3x
x = 6 1/3 ÷ 3
x = 19/3 * 1/3
x = 19/9
x = 2 1/9
That's it! Here are the solutions:
y = -2/3
x = 2 1/9