Which system of equations has infinitely many solutions 4x 2y 5

`0``1``2`Indinitely many

Answer : D

Solution : Difficult: Easy <br> Category: Heart of Algebra/ System of Linear Equations <br> Strategic Advice: When a question about a system of equations asks for the number of solutions, rather than the actual solution, don't worry about finding the value of x and y right away -you might not even need them the answer the question, Just simplify the two equations as much as possible, and then compare them. <br> Getting to the Answer: For each equations, combine like terms and write the results in standard form `(Ax+By=C)`: <br> `4y-2y+3=8 to 4x-2y=5` <br> `3x+6y=8y-x+5 to 4x-2y=5` <br> The equations are identical (dependent) and therefore, represent the same line, which means the system has infinitely many solutions, making (D) correct.

Which system of equation has infinitely many solutions?

A system of linear equations has infinite solutions when the graphs are the exact same line.

What is a infinitely many solution?

Having infinitely many solutions means that you couldn't possibly list all the solutions for an equation, because there are infinite. Sometimes that means that every single number is a solution, and sometimes it just means all the numbers that fit a certain pattern.

How do you write an equation with infinitely many solutions?

If the variable terms are the same and the constant terms are the same, then the equation has infinitely many solutions. So, the variable terms are the same. If the constant terms are also the same, then the equation has infinitely many solutions.