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Linear Systems of Equations Question(10 POINTS FOR BEST ANSWER NO JOKE!!!!)?
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<blockquote data-quote="MaxwellHouseRichDude" data-source="post: 2383956" data-attributes="member: 792053"><p>x+ 2y = 4</p><p>5x - y = 1/5</p><p>I suggest you start out with the equation 5x-y=1/5 because it is already mostly solved.</p><p>Subtract 5x on both sides.</p><p>-y=1/5-5x</p><p>Divide by -1 on each side.</p><p>y=-1/5+5x</p><p>Now plug in what y equals into the first equation to find the value of x.</p><p>x+ 2y = 4</p><p>x+2(-1/5+5x)=4</p><p>Distribute the 2 to the (-1/5+5x) in parentheses by multiplying.</p><p>x-2/5+10x=4</p><p>Combine like terms.</p><p>11x-2/5=4</p><p>Add 2/5 to both sides.</p><p>11x=4.4</p><p>Divide by 11 on each side.</p><p>x=2/5 or .4</p><p>Now plug in what x equals or 2/5 into what y equals to find the exact value of y.</p><p>y=-1/5+5x</p><p>y=-1/5+5(2/5)</p><p>y=-1/5+2</p><p>y=9/5 or 1.8</p><p>Your final answers for (x,y) are (2/5,9/5). To check your work, plug in 2/5 for x and 9/5 for y in one of the Original equations. If you come up with a true statement, then you know your answer has to be correct.</p><p>PROOF:</p><p>x+ 2y = 4</p><p>2/5+2(9/5)=4</p><p>2/5+3.6=4</p><p>4=4</p><p>Because this is a TRUE statement, you can be certain that you have the correct values for x and y.</p><p>Hope I helped!</p><p>Maxwell</p></blockquote><p></p>
[QUOTE="MaxwellHouseRichDude, post: 2383956, member: 792053"] x+ 2y = 4 5x - y = 1/5 I suggest you start out with the equation 5x-y=1/5 because it is already mostly solved. Subtract 5x on both sides. -y=1/5-5x Divide by -1 on each side. y=-1/5+5x Now plug in what y equals into the first equation to find the value of x. x+ 2y = 4 x+2(-1/5+5x)=4 Distribute the 2 to the (-1/5+5x) in parentheses by multiplying. x-2/5+10x=4 Combine like terms. 11x-2/5=4 Add 2/5 to both sides. 11x=4.4 Divide by 11 on each side. x=2/5 or .4 Now plug in what x equals or 2/5 into what y equals to find the exact value of y. y=-1/5+5x y=-1/5+5(2/5) y=-1/5+2 y=9/5 or 1.8 Your final answers for (x,y) are (2/5,9/5). To check your work, plug in 2/5 for x and 9/5 for y in one of the Original equations. If you come up with a true statement, then you know your answer has to be correct. PROOF: x+ 2y = 4 2/5+2(9/5)=4 2/5+3.6=4 4=4 Because this is a TRUE statement, you can be certain that you have the correct values for x and y. Hope I helped! Maxwell [/QUOTE]
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