Question

2x + 3y = 5x - y Complete the missing value in the solution to the equation. ( _ , 0 )

Answer 1

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)