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

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Question 918635: 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
B)IS (0,-2) A SOLUTION? YES OR NO

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
Try the ordered pair (x,y) values given for the Points in the Simplest EQ
3x-y = -2
YES(-2,-4), 3(-2)-(-4) = -2
NO!(0,-2), 0 -(-2) = 2 ≠ -2
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
.......eq.1
.......eq.2
__________________________

a)
if (,)
.......eq.1
.......eq.1

....true; so (,) is a solution for eq.1

.......eq.2


........true; so (,) is a solution for eq.2
__________________________

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
__________________________


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



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