Explain the difference between an equation and a system of equations. Discuss th

Chaya Galloway

Chaya Galloway

Answered question

2021-09-22

Explain the difference between an equation and a system of equations. Discuss the solution(s) in your explanation.

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-09-23Added 96 answers

Step 1
equation- a statement that the values of two mathematical expressions are equal
Step 2
A system of equations is a group of equations that relate to each other. For a system of equations to have a single solution, there must be at least as many equations as variables.
typically, a system of equations will only have one solution if there are as many equations as variables.
If the variables are raised to a power greater than one, there could be more than one solution.
If two of the equations in a system are the same equation, but written differently, the equation will have infinite solutions. For example 2xy=4 and y=2x+4 would produce an infinite number of solutions.
It is possible for a system of equations to have no solution. For example, parallel lines never intersect, so there is no solution (2x+1=0 and 2x+1=2).

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