document.write( "Question 895201: There are two mystery numbers. The sum of 3 times the first number and 7 times the second number is -10. The sum of 4 times the first number and 6 times the second number is -10. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #542629 by JulietG(1812)\"\" \"About 
You can put this solution on YOUR website!
Let x be the first number, and y be the second.
\n" ); document.write( "3x +7y = -10
\n" ); document.write( "4x +6y = -10
\n" ); document.write( "The equations are equal to each other so they can be set against each other.
\n" ); document.write( "3x+7y = 4x+6y
\n" ); document.write( "Subtract 3x from each side
\n" ); document.write( "7y = x + 6y
\n" ); document.write( "Subtract 6y from each side
\n" ); document.write( "y = x
\n" ); document.write( "The values are the same. Let's work them as all x, then.
\n" ); document.write( "Back to the first problem:
\n" ); document.write( "3x + 7x = -10
\n" ); document.write( "10x = -10
\n" ); document.write( "Divide each side by 10
\n" ); document.write( "x = -1
\n" ); document.write( "If x is -1, plugging it into the second equation...
\n" ); document.write( "4(-1) + 6y = -10
\n" ); document.write( "-4 + 6y = -10
\n" ); document.write( "Add 4 to each side
\n" ); document.write( "6y = -6
\n" ); document.write( "Divide each side by 6
\n" ); document.write( "y = -1
\n" ); document.write( "Both x and y = -1
\n" ); document.write( " \n" ); document.write( "
\n" );