Answer:
Assume we want to find the solution to this system of equations.
The solution is<u> (2,-2)</u>
Step-by-step explanation:
We can find the solution either mathematically or by graphing. I'll do both.
<u>Math:</u>
Rearrange:
-2x-6y=8
-6y=8 +2x
y = -(1/3)x -(4/3)
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Now use this expression of y in the second equation:
-6x-6y=0
-6x-6(-(1/3)x -(4/3)) =0
-6x + 2x +8 =0
-4x = - 8
x = 2
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Use x = 2 in the first equation to find y:
y = -(1/3)x -(4/3)
y = -(1/3)*(2) -(4/3)
y = -(2/3) -(4/3)
y = -(6/3) or -2
The solution is (2,-2)
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<u>Graphing:</u>
See attached graph.
To find a linear question, we must have two points on the line and we must know the slope.
Let us choose two points at random:
(-6,12) and (-5,14)
Now let us find the slope of the linear line:
So the slope is 2.
Now let us set up the equation which now requires only one point and the slope
let us use the point (-6,12) and the slope of 2
So the linear line is y = 2x + 4.
Hope that helps!
