Q: What is an example of a system of equation with infinite solutions?

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If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.

if a dependent system of equation is solved, how many solutions will there be?

An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.

If the lines cross then there is one solution. If they are on top of each other then there are infinite solutions. If they are parallel then there are no solutions.

False. There can either be zero, one, or infinite solutions to a system of two linear equations.

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The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.

The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.

An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)

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A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.

A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.

It depends on the equation. It could have one, it could have an infinite number.

If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16

If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.

The given terms do not include an equality sign and as such it can't be considered to be an equation so therefore it has no solutions.

an infinite number of solutions

Any two numbers that make one of the equations true will make the other equation true.