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Which of the following equations have infinitely many solutions? Choose all answers that apply:

A. \(76x + 76 = 76x + 76\)

B. \(76x + 76 = -76x + 76\)

C. \(-76x + 76 = 76x + 76\)

D. \(-76x + 76 = -76x + 76\)

Answer :

The equations have infinitely many solutions

-76x+76=-76x+76

76x + 76 = 76x +76

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

When certain requirements are met, an equation can have an unlimited number of solutions.

We have the equation

76x+ 76 = -76x+76

So, 152x = 0

x = 0

and, -76x+76=-76x+76

0= 0

and, 76x + 76 = 76x +76

0 = 0

and, -76x + 76x = 76x - 76

-152x = -152

x= 1

So, the equation with 0=0 shows infinite many solution which are

-76x+76=-76x+76

76x + 76 = 76x +76

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