SOLUTION: Determine whether each order pair is solution of the system of the system of linear equations
{ 3y=9x+6
{ 3x-y=-2
a)(-2,-4)
b)(0,-2)
A)IS (-2,-4) A SOLUTION? YES OR NO
a)
if (,)
.......eq.1
.......eq.1 ....true; so (,) is a solution for eq.1
.......eq.2
........true; so (,) is a solution for eq.2
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b)
if (,)
.......eq.1 ....not true; so (,) is not a solution for eq.1
.......eq.2
........not true; so (,) is not a solution for eq.2
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A)IS (-2,-4) A SOLUTION?
B)IS (0,-2) A SOLUTION?
we will graph both lines and see if given points lie on lines:
first line .......eq.1 we can simplify it dividing both sides by .......eq.1 compare to .......eq.2=>
.......eq.2 and we see it's same
that means the two lines are identical (one lies perfectly on top of the other) and intersect at all points of both lines