document.write( "Question 1050799: Two angles are supplementary! The larger angle is 8 degrees more than 3 times the measure of the small angle! What are the 2 angles? \n" ); document.write( "

Algebra.Com's Answer #666427 by advanced_Learner(501) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2By=180\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x%2By=180\"$
\n" ); document.write( " $\"x-3y=8\"$
\n" ); document.write( "let the software do the rest.
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+180%2C%0D%0A++++1%5Cx+%2B+-3%5Cy+=+8+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+180+-+1%2Ay\"$ , or $\"x+=+180%2F1+-+1%2Ay%2F1\"$ . Substitute that
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\n" ); document.write( " $\"1%2A%28180%2F1+-+1%2Ay%2F1%29+%2B+-3%5Cy+=+8\"$ and simplify: So, we know that y=43. Since $\"x+=+180%2F1+-+1%2Ay%2F1\"$ , x=137.
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\n" ); document.write( " Answer: $\"system%28+x=137%2C+y=43+%29\"$ .
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\n" ); document.write( "\n" ); document.write( "another method\r
\n" ); document.write( "\n" ); document.write( "let x be the smaller angle then 8+3x will be the large angle.
\n" ); document.write( " $\"x%2B3x%2B8=180\"$
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=43.
Graphical form: Equation $\"x%2B3x%2B8=180\"$ was fully solved.
Text form: x+3x+8=180 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2B3x%2B8=180+%29\"$
For tutors: simplify_cartoon( x+3x+8=180 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29%2B8=180\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B3%29%2Ax+%29%2B8=180\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B8=180\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Ax%2B8=180\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B8=180\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Ax%2B8=180\"$ .
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Look at $\"4%2Ax%2B8=highlight_red%28+180+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-180+%29\"$
It becomes $\"4%2Ax%2B8-highlight_green%28+180+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+8+%29-highlight_red%28+180+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Ax%2Bhighlight_green%28+-172+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+-172+%29=0\"$ .
Removed extra sign in front of $\"-172\"$
It becomes $\"4%2Ax-highlight_green%28+172+%29=0\"$ .
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Look at $\"highlight_red%28+4%2Ax-172+%29=0\"$ .
Solved linear equation $\"highlight_red%28+4%2Ax-172=0+%29\"$ equivalent to 4*x-172 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=43.

Universal Simplifier and Solver

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Done!

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