495,576 views
25 votes
25 votes
Which statement is true about the equations

-3x + 4y = 12 and 1/4x-1/3y = 1

O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

User Boris Belenski
by
2.6k points

1 Answer

24 votes
24 votes
The third option; solve the equation and get x=4+4/3y then substitute it into the first equation for x; -3( 4+4/3y) +4y=12 and solve to get no solution

Also, when you graph the two lines they are parallel
User ZoEM
by
3.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.