Solve the system of two equations in two variables.
-$4 x+3 y=2$
$24 x+18 y=12$
A) No solution
B) $\left(\frac{1}{2}, 0\right)$
C) $\left(-\frac{1}{4}, 1\right)$
D) $\left(-\frac{3}{4} y+\frac{1}{2}, y\right)$ for any real number $y$

Question

Quizplus · Accepted Answer

The second equation is a multiple of the first, indicating they are dependent and have infinitely many solutions. Solving for $x$ in terms of $y$ from the first equation gives the parametric solution.

Solve the System of Two Equations in Two Variables 4x+3y=24 x+3 y=24x+3y=2

Solve the System of Two Equations in Two Variables $4 x+3 y=2$