Question

what statement best describes the solution of the system of the equations shown 2x-y=1
4x-2y=2

A. the statement has no solution
B. the system has infinitely many solutions
C. the system has exactly 2 solutions
D. the system has exactly 1 solution

Answer 1

I’m pretty sure it’s B because you can put in any number and it could still have a difference of 1

Answer 2

The lines of the two equations, 2x-y=1 and 4x-2y=2 are overlapping, the system has infinitely many solutions.

What is a System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the system of equations can be found by plotting the line on the graph, the point of intersection of the two equations will be the solution of the equations.

Since the lines of the two equations, 2x-y=1 and 4x-2y=2 are overlapping, the system has infinitely many solutions.

Learn more about the System of equations:

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