Algebra Know-It-ALL
Part Two 325 Question 15-8 How can we determine the point-slope form of the equation for line PR, based on the coordi- nates of ...
326 Review Questions and Answers That’s in the form we want! Again from Answer 15-4, the slope-intercept form of the equation fo ...
Part Two 327 Solve the first-degree equation for x. Morph both equations into SI form with x all by itself on the left side of ...
328 Review Questions and Answers 2 x+ 8 = (1/3)x+ 3 6 x+ 24 =x+ 9 6 x+ 15 =x 5 x+ 15 = 0 5 x=− 15 x=− 3 Question 16-4 How can we ...
Part Two 329 Answer 16-6 The solution we have obtained is x=−3 and y= 2. We must plug these values into both of the original equ ...
330 Review Questions and Answers To solve this, we add 15 to each side and then divide through by −5, as follows: − 5 x− 15 = 0 ...
Part Two 331 Next, we substitute the quantity (2x+ 8) for y in the second equation and solve the result for x, as follows: x− 3 ...
332 Review Questions and Answers and y= (1/3)x+ 3 We know from these equations that the y-intercepts are 8 and 3, so the point ( ...
Part Two 333 along the line until y= 0, we’ll end up on the x axis, and we’ll have gone 8/2, or 4, units in the negative x direc ...
334 Review Questions and Answers left side of the equals sign. In Answer 16-4, that was done starting with the original equation ...
Part Two 335 Answer 17-7 They are the equations we derived in Answers 17-3 and 17-5: x= (1/2)y− 4 and x= 3 y− 9 Question 17-8 Wh ...
336 Review Questions and Answers How can we put the first of these equations into the form ax+by+c=d, where a,b,c, and d are con ...
Part Two 337 We can solve this system in many different ways. In Chap. 18, we learned to solve systems of this type by getting r ...
338 Review Questions and Answers Answer 18-6 Let’s multiply the top equation through by −3 and then add the bottom equation to i ...
Part Two 339 Question 18-9 How can we be sure that the solution we have obtained for the three-by-three system pre- sented in Qu ...
340 Review Questions and Answers 4 z= 13 − 2 x+y 4 × 1 = 13 − 2 × 6 + 3 4 = 13 − 12 + 3 4 = 13 + (−12)+ 3 4 = 4 Question 18-10 S ...
Part Two 341 Answer 19-2 We can play the matrix morphing game to get the matrix into echelon form, which looks like this: #### 0 ...
342 Review Questions and Answers Question 19-4 Using the rules outlined above, how can we get the matrix from Answer 19-1 into e ...
Part Two 343 Adding the second row to the third and then replacing the third row with the sum, we get 2 − 2 − 2 4 (^0) − 6 − 24 ...
344 Review Questions and Answers Adding the first and third rows and then replacing the first row with the sum gives us 1006 014 ...
«
13
14
15
16
17
18
19
20
21
22
»
Free download pdf