Step This is a system of two linear equations. Equation 1: x + 3y = 29 Equation 2: 9x – 4y = 44 To solve the system by the method of substitution, the first step is to solve Equation 1 for x in terms of y. Remember to change the sign of a term when you move it to the opposite side. x = 29 - (3 Next substitute this expression for x in Equation 2 to get a single variable equation in y. 9(29 - (3 ») - 4y = 44 Expand the expression on the left hand side by using the Distributive Property. |× )v- ay = 44 261 - Move the constants to one side and combine like terms. -31y = | Divide each side of the equation by the same number to get the value of y. y = Submit Skip (you cannot come back).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 60E
Question
Step 1
This is a system of two linear equations.
Equation 1: х+ Зу %—
29
Equation 2: 9x – 4y = 44
To solve the system by the method of substitution, the first step is to solve Equation 1 for x in terms of y.
Remember to change the sign of a term when you move it to the opposite side.
X = 29 -
3
Next substitute this expression for x in Equation 2 to get a single variable equation in y.
(29 - (3
- 4y = 44
Expand the expression on the left hand side by using the Distributive Property.
261 -
x y - 4y = 44
Move the constants to one side and combine like terms.
-31y =
Divide each side of the equation by the same number to get the value of y.
Submit
Skip (you cannot come back)
Transcribed Image Text:Step 1 This is a system of two linear equations. Equation 1: х+ Зу %— 29 Equation 2: 9x – 4y = 44 To solve the system by the method of substitution, the first step is to solve Equation 1 for x in terms of y. Remember to change the sign of a term when you move it to the opposite side. X = 29 - 3 Next substitute this expression for x in Equation 2 to get a single variable equation in y. (29 - (3 - 4y = 44 Expand the expression on the left hand side by using the Distributive Property. 261 - x y - 4y = 44 Move the constants to one side and combine like terms. -31y = Divide each side of the equation by the same number to get the value of y. Submit Skip (you cannot come back)
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