Question

(2y - 3x = 6,(y - 3x = 9;​

Answer 1

Объяснение:

Y=9+3x2(9+3x)-3x=618+6x-3x= 63x=6-183x=-12x=-12:3x=-4y=3×(-4)y=-12.

Answer 2

To solve the system of equations:

1. 2y - 3x = 6
2. y - 3x = 9

You can use either the substitution method or the elimination method. I'll demonstrate the elimination method here:

First, you want to eliminate one of the variables (either x or y) so that you can solve for the other variable. Let's eliminate x by subtracting equation (2) from equation (1):

(2y - 3x) - (y - 3x) = 6 - 9

This simplifies to:

y - 6x = -3

Now, you have a new equation:

3. y - 6x = -3

You have effectively eliminated x. Now, you can solve for y in terms of x from equation (3):

y = -3 + 6x

Now, you can substitute this expression for y into either equation (1) or (2) to solve for x. Let's use equation (2):

y - 3x = 9

Replace y with its expression:

(-3 + 6x) - 3x = 9

Now, solve for x:

-3 + 6x - 3x = 9

Combine like terms:

3x - 3 = 9

Add 3 to both sides:

3x = 9 + 3

3x = 12

Now, divide by 3 to solve for x:

x = 12 / 3

x = 4

Now that you've found the value of x, you can find the value of y using the expression you derived earlier:

y = -3 + 6x y = -3 + 6(4) y = -3 + 24 y = 21

So, the solution to the system of equations is:

x = 4 y = 21