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What is is dependent consistent

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What is is dependent consistent

Posted by Ritika Talwar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Santosh Suhana 5 years, 4 months ago

It means that there are infinite many solution,and when we draw a graph ,then line of both equation are coincident or both equation draw on the same line. And they will be presant in form a1/a2= b1/b2= c1/c2. Or ratio of all cofficiant of like term are equal. For example:- 2x^2+4x+7=0, 4x^2+8x+14=0. Here, In first equation, a=2. ,b=4, c=7 In second equation, a=4, b=8, c=14 a1/a2=b1/b2=c1/c2 2/4= 4/8= 7/14 1/2= 1/2= 1/2 Hence,this pair of equation are coincident.

Meghna Thapar 5 years, 4 months ago

If the systems of equations are dependent, it means that there are an infinite number of solutions. So in order to determine a single solution (out of the infinite possibilities), the value of x will depend on what you choose as the value of y. That is, x varies with y (and y varies with x). In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

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