document.write( "Question 192760: We are doing 1 step equations at our adult education class and I do not understand these I need help My one problem is 2z+9=1 4z-8=24 -3a-4=17 4y+9=37 These are just a few I don't understand could you please show me step by step how to do these. Please help me I am so confused. I have a good teacher but she is so busy she can't just work with me She has a lot of students and if I can get help with this I would appreciate. \n" ); document.write( "
Algebra.Com's Answer #144671 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 2z+9=1 4z-8=24 -3a-4=17 4y+9=37 \n" ); document.write( ": \n" ); document.write( "We want to perform math operations on both sides of the equation to isolate the \n" ); document.write( "variable, usually on the left side, but doesn't have to be: \n" ); document.write( "For example \n" ); document.write( " 2z + 9 = 1 \n" ); document.write( "Subtract 9 from both sides: \n" ); document.write( "2z + 9 - 9 = 1 - 9 \n" ); document.write( "Which is \n" ); document.write( "2z = -8 \n" ); document.write( "Divide both sides by 2 to get just 1z or we write it just z \n" ); document.write( " \n" ); document.write( "which is \n" ); document.write( "z = -4 is the solution \n" ); document.write( "; \n" ); document.write( "Check your solution in the original problem, substitute -4 for z \n" ); document.write( "2(-4) + 9 = 1 \n" ); document.write( "-8 + 9 = 1; a true statement confirms our solution of z = -4 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "4z - 8 = 24 \n" ); document.write( "Add 8 to both sides to eliminate -8 0n the left: \n" ); document.write( "4z - 8 + 8 = 24 + 8 \n" ); document.write( "4z = 32 \n" ); document.write( "Divide both sides by 4, that gives you \n" ); document.write( "z = 8 \n" ); document.write( ": \n" ); document.write( "Check as we did on the first one, substitute 8 in the original equation: \n" ); document.write( "4(8) - 8 = 24 \n" ); document.write( "32 - 8 = 24 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "-3a - 4 = 17 \n" ); document.write( "We want the variable to be positive, multiply both sides by -1 and you have: \n" ); document.write( "3a + 4 = -17; it changes all the signs \n" ); document.write( "Subtract 4 from both sides \n" ); document.write( "3a + 4 - 4 = -17 - 4 \n" ); document.write( "3a = -21 \n" ); document.write( "Divide both sides by 3 \n" ); document.write( "a = -7 \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "-3(-7) - 4 = 17 \n" ); document.write( "+21 - 4 = 17; remember, minus times a minus is a +! \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "4y + 9 = 37 \n" ); document.write( "Subtract 9 from both sides. eliminates the 9 on the left \n" ); document.write( "4y = 37 - 9 \n" ); document.write( "4y = 28 \n" ); document.write( "Divide both sides by 4, results: \n" ); document.write( "y = 7 \n" ); document.write( ": \n" ); document.write( "You check the solution in the original equation \n" ); document.write( ": \n" ); document.write( "Do you have any questions about this? \n" ); document.write( " |