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bugbug27
Actually you would use elimination. You would multiply the second equation by -2 so you could eliminate the x variable in both equations
    2x+3y=15
    -2(x+y=6)
   
so now you have...
2x+3y=15
-2x-2y=-12


the x variables cancel out, and now you are left with
3y=15
-2y=-12


you combine these two equations now using addition, then solve like a normal one-step equation
3y-2y= 1y
15-12=3


now your equation is 1y=3 or y=3

hope that made sense :)

The value of the x is 3 and y is 3 in the equation 2x + 3y = 15 and x+y=6

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equation:

2x + 3y = 15 …(1)

x + y = 6  …(2)

Take the value of x from the equation (2) and plug in the equation (1)

x = 6 - y

2(6 - y) + 3y = 15

12 - 2y + 3y = 15

y = 3

Plug in the equation (2)

x = 6 - 3

x = 3

Thus, the value of the x is 3 and y is 3 in the equation 2x + 3y = 15 and x+y=6

Learn more about the linear equation here:

brainly.com/question/11897796

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