Answer:
(4y/3, 0) or if there are no options, it's probably (0, 0)
Step-by-step explanation:
2x + 3y = 5x - y
So we are trying to find the missing value in the solution (_, 0)
We are looking for the x-intercept/root if the coordinate is in this way: (_, 0)
So to find the root, We are solving for x
2x + 3y = 5x - y
First, subtract 5x from bth sides
2x + 3y - 5x = 5x - y - 5x
2x + 3y - 5x = -y
Add like terms
-3x + 3y = -y
Now, subtract 3y from both sides
-3x + 3y - 3y = -y - 3y
-3x = -4y
Divide both sides by -3
-3x/-3 = -4y/-3
x = -4y/-3
We are not done yet because the answer above is not quite right. A negative number divided by a negative number results in a positive number.
So x = 4y/3
Now that we found x, we can input it to the coordinate
(4y/3, 0)
I put it on Sesmos graphing calculator and the answer seems to be (0, 0)
