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Question 269010: 9x+3y=899.40
12x+2y=1139.30
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! 9x+3y=899.4_12x+2y=1139.3
►Since 3y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3y from both sides.
9x=-3y+899.4_12x+2y=1139.3
►Divide each term in the equation by 9.
(9x)/(9)=-(3y)/(9)+(899.4)/(9)_12x+2y=1139.3
►Simplify the left-hand side of the equation by canceling the common terms.
x=-(3y)/(9)+(899.4)/(9)_12x+2y=1139.3
►Combine the numerators of all expressions that have common denominators.
x=(-3y+899.4)/(9)_12x+2y=1139.3
►Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is ((-3y+899.4))/(9).
x=(-3y+899.4)/(9)_12((-3y+899.4)/(9))+2y=1139.3
►Remove the parentheses around the expression -3y+899.4.
x=(-3y+899.4)/(9)_12((-3y+899.4)/(9))+2y=1139.3
►Divide each term in the numerator by the denominator.
x=-(3y)/(9)+(899.4)/(9)_12((-3y+899.4)/(9))+2y=1139.3
►Reduce the expression -(3y)/(9) by removing a factor of 3 from the numerator and denominator.
x=-(y)/(3)+(899.4)/(9)_12((-3y+899.4)/(9))+2y=1139.3
►Divide 899.4 by 9 to get 99.93.
x=-(y)/(3)+99.93_12((-3y+899.4)/(9))+2y=1139.3
►Remove the parentheses around the expression -3y+899.4.
x=-(y)/(3)+99.93_12((-3y+899.4)/(9))+2y=1139.3
►Divide each term in the numerator by the denominator.
x=-(y)/(3)+99.93_12(-(3y)/(9)+(899.4)/(9))+2y=1139.3
►Reduce the expression -(3y)/(9) by removing a factor of 3 from the numerator and denominator.
x=-(y)/(3)+99.93_12(-(y)/(3)+(899.4)/(9))+2y=1139.3
►Divide 899.4 by 9 to get 99.93.
x=-(y)/(3)+99.93_12(-(y)/(3)+99.93)+2y=1139.3
►Multiply 12 by each term inside the parentheses.
x=-(y)/(3)+99.93_(-4y+1199.2)+2y=1139.3
►Since -4y and 2y are like terms, subtract 2y from -4y to get -2y.
x=-(y)/(3)+99.93_-2y+1199.2=1139.3
►Since 1199.2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1199.2 from both sides.
x=-(y)/(3)+99.93_-2y=-1199.2+1139.3
►Add 1139.3 to -1199.2 to get -59.9.
x=-(y)/(3)+99.93_-2y=-59.9
►Divide each term in the equation by -2.
x=-(y)/(3)+99.93_-(2y)/(-2)=-(59.9)/(-2)
►Simplify the left-hand side of the equation by canceling the common terms.
x=-(y)/(3)+99.93_y=-(59.9)/(-2)
►Simplify the right-hand side of the equation by simplifying each term.
x=-(y)/(3)+99.93_y=29.95
►Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 29.95.
x=-(29.95)/(3)+99.93_y=29.95
►Multiply -1 by 29.95 to get -29.95.
x=-(29.95)/(3)+99.93_y=29.95
►Divide -29.95 by 3 to get -9.98.
x=-9.98+99.93_y=29.95
►Add 99.93 to -9.98 to get 89.95.
x=89.95_y=29.95
►This is the solution to the system of equations.
=► x=89.95_y=29.95
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