How do you solve x + y = -1 and 6x – 2y = 18?
2 Answers
See a solution process below:
Explanation:
Step 1) Solve the first equation for
Step 2) Substitute
Step 3) Substitute
The Solution Is:
or
Solve algebraically or by graphing the equations.
Explanation:
#x + y = -1 #
#6x - 2y = 18# #6x + 6y = -6#
#6x - 2y = 18#
Multiply each side of one or both equations by a constant so that one variable (in this case#x# ) in both equations has the same coefficient (in this case#6# ).#6x + 6y = -6#
#-(6x - 2y = 18)#
Subtract the second equation from the first using the distributive property#[ a (b + c) = ab + ac]# .#8y = -24#
#y = -3#
Simplify and solve for#y# by dividing both sides by#8# .#x + (-3) = -1#
Plug#-3# in for y in one or both equations (the answer should be the same).#x = 2#
Solve for#x# (add#3# to both sides).#x = 2#
#y = -3#
State the answer as#x# and#y# values or as a coordinate#(2, -3)# when graphing the equations.