Question

Check weather the equations 3x+2y=5 and 6x-4y=10 are consistent or inconsistent.

Justify your answer.​

Answer 1

Answer:

consistent

Step-by-step explanation:

because it has a unique solution

that is,

a1/a2 is not equal to b1/b2 .

3/6 not = -2/4

1/2 not = -1/2

hence it is consistent

hope this helps

Answer 2

Answer:

consistent

Step-by-step explanation:

( Note: consistent just means "the equations have solutions" and vice versa)

For two system of equations to be considered inconsistent, there graphs must not intersect each other.

In this case, these are linear equations.

So, if $\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}$, the two equations are inconsistent.

a, b, and c are the coefficients of x, y and c is the constant

$\frac{a_1}{a_2}=3/6=0.5$

$\frac{b_1}{b_2}=2/(-4)=-0.5$

$\frac{c_1}{c_2}=(-5)/(-10)=0.5$

since the condition stated above is not satisfied, the equations are consistent