Consider the equation 6x+3y=9. which equation, when graphed with the given equation, will form a system with infinitely many solutions? y+2x=3 y+2x=9 y=2x+3 or y=-2x+9

a. y+2x=3

Step-by-step explanation:

Consider the equation 6x+3y=9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y+2x=3 y+2x=9 y=2x+3 or y=-2x+9

Two equations with two unknowns do not always have a unique solution.

6x+3y=9

solving simultaneously with equation 1

6x+3y=9

y+2x=3

rearranging the second equation , we have

6x+3y=91

2x+y=32

multiplying the second equation by 2

6x+3y=91

2x+y=32   x3

6x+3y=91

6x+3y=92

introduce a minus sign, we ave

x=0, y=0

to prove that it has infinitely many solutions

the others will converge at a point when solve simultaneous with given algebriac equation.