Search 85,386 tutors
FIND TUTORS
Ask a question
0 0

Identify the solution(s) of the system of equations 6x+4y=2 and y=5-3x

Tutors, please sign in to answer this question.

2 Answers

Plug in y = 5-3x into the first equation,
6x+4(5-3x) = 2
Solve for x,
x = (20-2)/6 = 3
y = 5-3x = 5-9 = -4
Answer: (3, -4)
Hey Debra -- as another angle, it's often a helpful relief to "cut in half" ... 3x+2y=1 ... since 3x=5-y, then 5-y+2y= 5+y =1 ... leaving y= -4 and 3x=9 or x=3 ... Best wishes, ma'am :)