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Breaking down Equations – 0ne step When there is an unknown letter, we would want to solve it or basically get a value for this letter. Another word used to call this letter is a pronumeral. Hence, you may see such statements in textbooks which says, ‘solve the unknown’ or ‘solve for the pronumeral’. The letter or pronumeral would indicate that we would like to find the value of something that we do not know. An example for this maybe, 2 dvds cost $21.00, so how much does one dvd cost? This can be represented as 2y= 21.50, y would represent the cost of a dvd, so 1 dvd would cost 21.50 divided 2, which would be $10.50. In solving equations, remember, the opposite operations Opposite operation + x ÷ add, plus minus, subtract, take away times, multiply,product divide, over, quotient -, minus +, plus ÷, divide x, times In solving equations, what we are doing when using opposite operations is simply to balance the equation so that we do not change the equation, what we do to one side of the equal sign, we need to do the same to the other. One step Equation 2y = 10, meaning 2 x y Opposite operation ÷ or written as __ 2 x y = 10 2 2 y=5 t + 7 = 12 t + 7 -7 = 12 -7 t= 5 opposite of +7 is -7 - r =4 opposite of divide 3 is X3, so 3 3 X r = 4 X 3 , so r = 12 3 Solve for the pronumeral: Opposite operation: 3t = 15 t = __________________ 2g = 4 g = ___________________ r=6 2 r = ___________________ j – 5 = 11 j = ___________________ y = 10 3 y = ___________________ g+5=9 g = ___________________