SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x � 8y = 22 -6x � y = 20 What I do not un

Question 499878: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-2x � 8y = 22
-6x � y = 20
What I do not understand is how do I determine what number to multiply to each equation...can someone please help me?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
-2x -8y = 22
-6x -y = 20
.
Multiply the first equation by -3.
6x +24y = -66
.
Add the two equations to "eliminate" the 'x' variable.
6x +24y = -66
-6x -y = 20
=
0x +23y = -46
.
Divide both sides by 23
y = -2
.
Now substitute this value to find 'x'.
.
-2x -8y = 22
.
-2x -8(-2) = 22
.
-2x +16 = 22
.
-2x = 6
.
x = -3
.
Graphically, the point of intersection should be: (-3,-2).
.
To graph the original equations, convert them to slope-intercept form:
.
-2x -8y = 22
-8y = 2x + 22
y = -2/8*x -22/8
.
-6x -y = 20
-y = 6x +20
y = -6x -20
.

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