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10 votes
6. What is the solution of the system

of equations?

2x + 3y = 12
-6y = 4x - 24
A. X = 3, y = 2
B. X = 6, y = 0
C. Infinitely many solutions
D. No solution

2 Answers

3 votes
the answer should b c infinitely many solutions
User Sunny Goel
by
4.6k points
3 votes

Answer:

C

Explanation:

If you rewrite the questions into linear form (y=mx+b) then you get

For the first one

2x-12= -3y

Divide by -3 and get

-2/3x +4 =y

For the second one

-6y=4x -24

Divide by -6 and get

y= -4/6x +4

Simplify the fraction and you get -2/3x+4 =y

Obviously these two lines are identical meaning that any number will work

User ShivarajRH
by
4.4k points