Question

graph each system. use the graph to find the solution and too determine the name of the system. system: y=-3x+1 6x+2y=10

Answer 1

The equations are given as

y= -3x+1 and 6x+2y=10

The equations are -

`2(3x+y=5)`
`3x+y=5`
`y=-3x+5`

The graph of the equations are

Since graph shows the parallel lines that never cross, there is no intersection of these lines.

Then for a system of two linear equations that graphs as two parallel lines, there can be no solution.

This system is called "inconsistent" system of equations.