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Linear Equation & System of Linear Equations?
Compare and contrast the solution(s) to a linear equation and the solution(s) to a system of linear equations.
Linear Equation
Y= 3X + 2
System of Linear Equations
Y= -3X +5
Y= X + 5
im sorry this sounds like a command. i just wrote it the way my paper said.
2 Answers
- Anonymous1 decade agoFavorite Answer
That sounds more like a command than a question!
A linear equation has an infinite amount of solutions, because there are an infinite number of points on a line. A system of two equations like this happens to have only one solution, because the two lines cross at only one point.
- 1 decade ago
the answer to the linear eqn is that the solution for y is at anywhere on the line y=3x+2 for any given value of x.
For the system of equations, the solution for y is the y-coordinate where the 2 lines intersect. This can be found by solving the 2 equations simultaneously or graphically. y=5 at x=0.
There is a single answer, a single point, for the system of linear eqns whereas the linear eqn has its solution anywhere on the line.
