Question

7.
Graph the following linear system to determine the number of solutions.
y= -3x+6
6x+2y=12

Answer 1

we will get a straight line only

Answer 2

Same as the last one. Put the second into slope intercept form.
6x+2y=12
2y=-6x+12
y=-3x+6
Now look at your slopes. Again, they are both the same but this time your y intercept is the same too. This means they are the same line. So that means all solutions fit the given set of equations.

Answer 3

see first eqn y = -3x +6
multiply both sides by 2
2y = -6x + 12
i.e., 6x + 2y = 12