document.write( "Question 942253: whats the difference of double a number and triple another number is 14 the sum of the first number and triple the second number is -11 find the two numbers \n" ); document.write( "
Algebra.Com's Answer #574488 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let the two number be a & b \n" ); document.write( "; \n" ); document.write( "write an equation for each statement \n" ); document.write( ": \n" ); document.write( "the difference of double a number and triple another number is 14 \n" ); document.write( "2a - 3b = 14 \n" ); document.write( " the sum of the first number and triple the second number is -11 \n" ); document.write( "a + 3b = -11 \n" ); document.write( ": \n" ); document.write( "We can use elimination here \n" ); document.write( "2a - 3b = 14 \n" ); document.write( " a + 3b = -11 \n" ); document.write( "---------------Addition eliminates b, find a \n" ); document.write( "3a = 3 \n" ); document.write( "a = 1 \n" ); document.write( "Find b using the 1st equation \n" ); document.write( "2(1) - 3b = 14 \n" ); document.write( "-3b = 14 - 2 \n" ); document.write( "-3b = 12 \n" ); document.write( "b = 12/-3 \n" ); document.write( "b = -4 \n" ); document.write( ": \n" ); document.write( " find the two numbers; 1 and -4 \n" ); document.write( ": \n" ); document.write( "Check them in the 2nd equation \n" ); document.write( "1 + 3(-4) = -11 \n" ); document.write( "1 - 12 = -11 \n" ); document.write( " |