{2y =8x+6
9x+3y=21
y=4x+3
then plug it into the other equation
9x+3(4x+3)=21
9x+12x+9=21
21x+9=21
21x=12
x=12/21
then plug that into the original equation to find y
Y = 19/28
To solve the system of equations:
1. Start by multiplying the first equation by 3 to eliminate the y variable:
6y = 24x + 18
2. Multiply the second equation by 2 to eliminate the x variable:
18x + 6y = 42
3. Now you have two equations with the same coefficient for y (6y). Since the coefficients are the same, you can combine the equations by subtracting one from the other:
(18x + 6y) - (24x + 18) = 42 - (24x + 18x)
18x - 24x + 6y - 18 = 42 - 42x
-6x + 6y - 18 = 42 - 42x
4. Simplify the equation by rearranging the terms:
6y - 6x - 42x = 18 + 42
6y - 48x = 60
5. Divide the equation by 6 to isolate the y variable:
y - 8x = 10
Now you have two equations:
1. 6y - 48x = 60
2. y - 8x = 10
These equations can be solved simultaneously to find the values of x and y.