Solve the system of equations.

x + 3y = −1
2x + 2y = 6

Question

Solve the system of equations.

x + 3y = −1
2x + 2y = 6

sepeario · Answer

Could you rearrange the first equation so we have an equation in terms of x (in the form of x=?)

anonymous · Answer

I am not sure

sepeario · Answer

Okay let me help you out then. If we move over the 3y onto the right hand side then we get $$x=-1-3y$$

anonymous · Answer

you can use substitution, and find x in x+3y=−1

sepeario · Answer

This form of solving a system of equations is known as substitution. Reason being, we can now substitute the value for x we have now into the second equation, hence eliminating the other variable.

anonymous · Answer

then when you find the x in that equation, substitute it for the x in 2x+2y=6

anonymous · Answer

to get y

anonymous · Answer

2x+3y = 1 
2x = 1-3y 
x = (1-3y)/2 

3(1-3y)/2 + 2y = -6 
3-9y + 4y = -12 
-5y = -15 
y = 3 

2x+3(3) = 1 
2x + 9 = 1 
2x = -8 
x = -4 

i hope this helps!