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

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

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
1
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)
Brad M. | STEM Specialist plus Business, Accounting, Investment & EditingSTEM Specialist plus Business, Accountin...
4.9 4.9 (229 lesson ratings) (229)
0
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 :)