Which answer best describes the system of equations shown in the graph? 6x + 4y = 2 3x + 2y = 1 not enough information consistent and independent coincident inconsistent

The first equation in standard form: 6x + 4y = 2

Point-slope form: y = -3/2x + 1/2

The second equation in standard form: 3x + 2y = 1

Point-slope form: y = -3/2 + 1/2

As you can see, the equations are have the exact same slope and y-intercept, so they are the same line. They are not consistent and independent, because this would mean the two lines share one solution. They are not inconsistent because this would mean the two lines share no solution. They are consistent, meaning they have infinitely many solutions. When graphed, the lines are on each other, so they have infinitely many solutions.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get