Question

Solve the system. 4x-6y=-26 -2x+3y=13

A. 5,1
B. 1,-5
C. -5,1
D. Infinite number of solutions

Answer 1

4x - 6y = -26

-2x + 3y = 13     Multiply this by 2:-

-4x + 6y = 26      Add the first equation to this one. We get:-

0 + 0 = 0

Both equations graph is the same lien.

Infinite number of solutions

Answer 2

Here in the above equation a1=4 , b1=-6 , c1=26

Like that a2=-2 , b2=3 , c2=-13

Here $\frac{a1}{a2}=\frac{a2}{b2}=\frac{a3}{b3}   =-2$

So it have infinitely many solution. (Answer)