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14 votes
14 votes
Determine the number of solutions for the given system.

y = -4 + 7
12x + 3y = 21

a-infinite many solutions
b-one solution
c-no solution
HURRY!!!

User Oliwa
by
2.9k points

1 Answer

15 votes
15 votes

Answer:

B- one solution

Explanation:

If you plug y into the equation, it will be 12x + 3(-4 + 7)= 21. Distribute the 3 to get 12x + (-12) + 21 = 21. This simplifies to 12x - 12 = 0 or 12x = 12. So x has to equal 1. Which means there is only one solution.

User Sushant Rajbanshi
by
3.1k points