Question

Use the substitution method to solve the system of equations.

x + 2y = 15
2x – 3y = 2

Answer 1

\[\begin{align}x &=&15 - 2y \\ 2(15 - 2y) - 3y & = & 2\end{align}\]

Answer 2

how did you come up with that??

Answer 3

x+2y=15
or, x=15-2y...............(i)
Now,
2x-3y=2
or,2(15-2y)=2 (using the value of x from equation (i) )
or,30-4y=2
or,-4y=2-30
or,-4y=-28
or, y=-28/-4
So, y=3

then put this value y=3 in equation (i).
x=15-2(3)
or, x=15-6
So, x=9
hence, the required values are x=9 and y=3