Question

3x+3y=9 and 3x-2y=6 substitution method

Answer 1

Answer:

In the given equations, x = 12/5 and y = 3/5

Step-by-step explanation:

Given equations are:

3x+3y=9 and 3x-2y=6

Taking the first equation (3x+3y=9)

We have 3x + 3y = 9

This can be written as 3(x+y) = 9

=> x + y = 9/3 = 3

=> x = 3 - y

We now substitute the value of x from above to the second equation.

We get

3(3-y) -2y = 6

=> 9 - 3y - 2y = 6

=> -5y = 6 - 9

=> -5y = -3

=> 5y = 3

=> y = 3/5

As x = 3 - y

we get, x = 3 - (3/5)

=> x = (15 - 3)/5

=> x = 12/5

Therefore in the given equations, x = 12/5 and y = 3/5