Question

3x + 2y = 5 , 2x - 3y = 7 is consistent

Answer 1

Answer:

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Answer 2

$\huge\mathfrak{Answer \ :-}Answer : - </p><p>Given equations :-</p><p></p><p>3x + 2y = 5</p><p></p><p>And</p><p></p><p>2x - 3y = 7</p><p></p><p>Here,</p><p></p><p>a1 = 3, a2 = 2, b1 = 2, b2 = -3, c1 = 5 and c2 = 7</p><p></p><p>Now,</p><p></p><p>a1/a2 = 3/2</p><p></p><p>b1/b2 = 2/-3 = -2/3</p><p></p><p>c1/c2 = 5/7</p><p></p><p>As we can see that,</p><p></p><p>a1/a2 ≠ b1/b2</p><p></p><p>This equation represent only one solution.</p><p></p><p>Therefore, these equations are consistent.</p><p></p><p># Consistent equations are those equations which atleast have one solution.</p><p></p><p>\huge\mathbb{Hope \ this \ helps.}Hope this helps.$