Is the pair of linear equations 3x y 40 4x 2y 50 consistent or inconsistent Why?

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Is equations 3x 2y 5 and 2x 3y 7 are consistent or inconsistent?

On comparing the ratio, (a1/a2) , (b1/b2) , (c1/c2) find out whether **3x + 2y = 5 ; 2x – 3y = 7** are consistent or inconsistent. So, the given equations intersect each other at one point and they have only one possible solution. The equations are consistent.

Which of the following pairs of linear equations are consistent inconsistent 3x 2y 5 2x 3y 7?

3x + 2y = 5; 2x - 3y = 7. Hence, the given lines are intersecting. So, the given pair of linear equations has exactly one solution and therefore it is consistent.

Which of the following pair of linear equations are consistent or inconsistent?

On comparing the ratios of the coefficients of the following pairs of linear equations, we see that (i) x + y = 5, 2x + 2y = 10 have infinitely many solutions. Hence, they are consistent. (ii) x - y = 8, 3x - 3y =16 are parallel and have no solution. Hence, the pair of equations are inconsistent.

Is the pair of linear equations is consistent?

If a pair of linear equations is consistent, then the lines are intersecting or coincident i.e they will have at least one solution or infinitely many solutions.