Explanation Procedure used: Solving system of equation by Substitution method: (1) Solve either of the equations for one variable in terms of the other. (If one of the equations is already in this form, you can skip this step.) (2) Substitute the expression found in step 1 into the other equation. (3) Solve the equation containing one variable. (4) Back-substitute the value found in step 3 into one of the original equations and find the value of the remaining variable. (5) Check the solution by substituting in one of the system of given equations”. Calculation: Consider the given equation as follows. 3 x + 4 y = 5 (1) x − 2 y = − 5 (2) By using the above procedure, solve the system of equations. Step 1: Isolate the variable y to obtain the value of x from the equation (2). x − 2 y = − 5 x − 2 y + 2 y = − 5 + 2 y ( Solve for x by addinging 2 y on both sides ) x = 2 y − 5 Step 2: Substitute 2 y − 5 for x in the equation (1). 3 x + 4 y = 5 3 ( 2 y − 5 ) + 4 y = 5 Here, the variable x is eliminated. Step 3: Solve the above equation. 3 ( 2 y − 5 ) + 4 y = 5 6 y − 15 + 4 y = 5 ( Apply the distributive property ) 10 y = 5 + 15 &

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Chapter 11.1, Problem 7AE

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To solve: The system of equations 3x+4y=5 and x−2y=−5 by substitution method.

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Chapter 11.1, Problem 6AE

Chapter 11.1, Problem 8AE

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Find the area of the shaded region. (a) 5- y 3 2- (1,4) (5,0) 1 3 4 5 6 (b) 3 y 2 Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. STEP 1: Consider the figure in part (a). Since this region is simply a triangle, you may use precalculus methods to solve this part of the problem. First determine the height of the triangle and the length of the triangle's base. height 4 units units base 5 STEP 2: Compute the area of the triangle by employing a formula from precalculus, thus finding the area of the shaded region in part (a). 10 square units STEP 3: Consider the figure in part (b). Since this region is defined by a complicated curve, the problem seems to require calculus. Find an approximation of the shaded region by using a graphical approach. (Hint: Treat the shaded regi as…

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Chapter 11 Solutions

EBK MATHEMATICS FOR THE TRADES

Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 1BE Ch. 11.1 - Solve each of the following systems of equations....

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The system of equations 3 x + 4 y = 5 and x − 2 y = − 5 by substitution method.

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To solve: The system of equations 3x+4y=5 and x−2y=−5 by substitution method.

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Chapter 11 Solutions