document.write( "Question 4826: 3X + 2Y= 8 X=3Y +10 HOW WOULD WE START THIS PROBLEM \n" ); document.write( "
Algebra.Com's Answer #2401 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! Use substitution: \n" ); document.write( "Since we know what x=, we can use this information to rewrite the following: \n" ); document.write( "3(X) + 2Y = 8\r \n" ); document.write( "\n" ); document.write( "3(3y+10) + 2Y = 8\r \n" ); document.write( "\n" ); document.write( "clear the parentheses: \n" ); document.write( "9y+30+2y=8\r \n" ); document.write( "\n" ); document.write( "Consolidate like terms \n" ); document.write( "11y+30=8\r \n" ); document.write( "\n" ); document.write( "Subtract 30 from both sides: \n" ); document.write( "11y=-22\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 11 \n" ); document.write( "y=-2\r \n" ); document.write( "\n" ); document.write( "Substitute y back into either of your equations to find x: \n" ); document.write( "3x+2(-2)=8 \n" ); document.write( "3x+-4=8 \n" ); document.write( "3x=12 \n" ); document.write( "x=4\r \n" ); document.write( "\n" ); document.write( "Check with your other equation: \n" ); document.write( "4=3(-2)+10 \n" ); document.write( "4=-6+10 \n" ); document.write( "4=4 \n" ); document.write( "True statement, so the solution set is (4,-2) \n" ); document.write( " \n" ); document.write( " |