Solve graphically.
-$\begin{array}{c}
3 x-2 y=4 \
-6 x+4 y=7
\end{array}$

A) Infinite number of solutions
B) $( 2,1 )$
C) No solution
D) $( 1,2 )$

Question

Solve graphically.
-$\begin{array}{c}
3 x-2 y=4 \
-6 x+4 y=7
\end{array}$

A) Infinite number of solutions 
B) $( 2,1 )$ 
C) No solution 
D) $( 1,2 )$

Quizplus · Accepted Answer

We can rewrite the equations as:
\begin{align*}
y&=\frac{3}{2}x-2\
y&=\frac{3}{2}x+\frac{7}{4}
\end{align*}
Notice that the slopes of the two lines are the same, but their $y$-intercepts are different. Therefore, they are parallel and do not intersect, so there is no solution.

Solve Graphically 3x−2y=4−6x+4y=7\begin{array}{c}3 x-2 y=4 \\-6 x+4 y=7\end{array}3x−2y=4−6x+4y=7​ A) Infinite Number of Solutions B)

Solve Graphically $\begin{array}{c}3 x-2 y=4 \\-6 x+4 y=7\end{array}$ A) Infinite Number of Solutions
B)