1/19/17, 4(13 PM Assignment Results Page 1 of 5 Score: Score: 50/50 Points 100 % Single Variable Equations Single Variable Equations Solving an equation when only one variable is unknown is straightforward. It is just a matter of isolating the unknown variable on one side of the equals sign. For example, we could use the equation for output in an open economy (Y = C + I + G + NX) to solve for Investment 'I' 'I' when consumption 'C' is $104.6, output 'Y' is $182.5, government spending 'G' is $48.8 and net exports 'NX' is -$5.2. All numbers are in billions. First, we start with our equation: Y = C + I I + G + NX And plug in the values we are given (we will leave out the “billions” label until the end, since all numbers are expressed in the same terms). Note that adding a negative number is the same as subtracting a positive number, as on the NX term: $182.5 = $104.6 + I + $48.8 - $5.2 Now group together the constants on the right-hand side: $182.5 = $104.6 + $48.8 - $5.2 + I $182.5 = $148.2 + I And get the unknown variable I on one side by itself by subtracting $148.2 from both sides: $182.5 - $148.2 = I And simplify to solve for I: I = $34.3 billion
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- Microeconomics, Equals sign, Assignment Results