Solve the system of equations

x + 3y = 32

-3x + 2y = 3

Question

Solve the system of equations

x  + 3y =  32

-3x  + 2y =  3

luffingsails · Answer

Hi bart,

A good approach to these is to solve one of the equations for one of the variables. So, if I solved the first equation for x, I would get:

x = 32 - 3y

I can then put this into the second equation and solve.

-3(32 - 3y) + 2y = 3
-96 + 9y + 2y = 3, after distribution
11y = 99, after some simplification
y = 9, after some more.

Hope that helps.

anonymous · Answer

$$x + 3y = 32$$$$-3x + 2y = 3$$

$$x=32-3y$$$$-3(32-3y)+2y=3$$

$$x=32-3y$$$$-96+9y+2y=3$$

$$x=32-3y$$$$11y=99$$

$$x=32-3y$$$$y=9$$

$$x=32-3\times9$$$$y=9$$
$$x=5$$$$y=9$$