-2x-6y=8 and -6x-6y=0
2 answers:
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.
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<h2><u>Answer:</u></h2><h2><u></u>
<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>
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<h3>1.) Multiply both sides of the equation by 3:</h3>×
×
<em> - We do this because we need to get x alone and separate from fraction from. </em>
<u>Equation at the end of Step 1:</u>
- <u />
<u />
Cancels Out
<em> - We do this to cancel out an extra numbers in order to get only x alone with 1 number on the opposite side of the equal. </em>
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