Equilibrium Equation with Y Factored Out
By gathering all terms containing aggregate output (Y) onto one side of the goods market equilibrium equation, it becomes possible to factor out Y. This algebraic step yields the equation , which consolidates autonomous spending () on the right and sets up the equation for the final step of isolating Y.
0
1
Tags
Economics
Economy
Introduction to Macroeconomics Course
Ch.3 Aggregate demand and the multiplier model - The Economy 2.0 Macroeconomics @ CORE Econ
The Economy 2.0 Macroeconomics @ CORE Econ
CORE Econ
Social Science
Empirical Science
Science
Related
Equilibrium Equation with Y Factored Out
In a simple economic model, the equilibrium level of output (Y) is determined by the equation
Y = c_0 + c_1Y + I. Which of the following equations correctly rearranges the original equation to group all terms containing Y on the left-hand side, as a first step toward solving for Y?In a basic model of an economy, the equilibrium condition is given by the equation
Y = c_0 + c_1Y + I. To start solving for the equilibrium output (Y), the first step is to gather all terms containing Y on one side. Performing this step results in the equationY - c_1Y =____.Consider the equation representing an economy's equilibrium:
Y = c_0 + c_1Y + I. To begin solving for the equilibrium output (Y), the correct first algebraic step is to subtract the termc_1Yfrom both sides of the equation.Error Analysis in Equilibrium Equation Rearrangement
To solve for the equilibrium output (Y) from the equation
Y = c_0 + c_1Y + I, the following algebraic manipulations are required. Arrange them in the correct logical order from first to last.Analyzing an Economist's First Step
For each initial equation representing an economic model, match it with the equation that correctly shows the first step of isolating the variable 'Y' by grouping all 'Y' terms on the left-hand side.
Rationale for Rearranging the Equilibrium Equation
The equation
Y = 100 + 0.8(Y - 50) + 200represents the equilibrium in a specific goods market model. Before solving for the final value of Y, an essential first step is to algebraically rearrange the equation so that all terms containing the variable Y are on the left-hand side, and all constant terms are on the right-hand side. Which of the following equations correctly represents the outcome of this specific rearrangement?Formulating and Rearranging an Equilibrium Equation
Learn After
Isolating Equilibrium Output by Division
In the process of solving for the equilibrium level of aggregate output (Y), an economist has rearranged the initial equation to group all terms containing Y on one side, resulting in the expression: Y - c₁Y = c₀ + I + G. What is the correct next algebraic step to continue isolating Y?
Simplifying the Equilibrium Equation
In solving for equilibrium output, the equation
Y = c₀ + c₁Y + Iis first rearranged toY - c₁Y = c₀ + I. The next step is to factor out the aggregate output term, resulting in the expression:Y * (______) = c₀ + I.In the process of solving for equilibrium output in a simple macroeconomic model, an analyst has correctly arranged the terms to get the equation: Y - c₁Y = c₀ + I. What is the correct result of factoring out the aggregate output term (Y) on the left-hand side of this equation?
Correcting an Algebraic Step in an Economic Model
Analyzing an Algebraic Derivation
An economist is solving for equilibrium output and has correctly rearranged the initial equation to
Y - c₁Y = c₀ + I. The next step in their derivation is written asY(c₁ - 1) = c₀ + I. This transformation is a correct application of factoring.In the process of solving for equilibrium output in various macroeconomic models, it is necessary to factor out the aggregate output term (Y). Match each expression on the left with its correctly factored form on the right.
An economist is solving for the equilibrium level of output (Y) in a simple goods market model. The steps of the algebraic derivation are listed below in a jumbled order. Arrange these steps into the correct logical sequence, starting from the initial equilibrium condition.
Interpreting an Algebraic Step in Macroeconomics