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Question:My sister needs help on these story problems using systems of equations. 1. A work crew of 5 bricklayers and 3 carpenters earns $891 for a job. Another crew of 12 bricklayers and 4 carpenters earns$1748 on the same job. how much would be paid to a crew of 2 bricklayers and 5 carpenters? 2. Aaron has 16 coins in his pocket that total $2.95. If he only has dimes and quarters, how much money does he have just in quarters? 3. In the 2000-2001 season, Minnesota's Katie Smith was ranked first in the WNBA for total points and three-pointers made. She scored 646 points making 355 total shots, which includes 3-point baskets, 2-point baskets, and single point free throws. Katie made 37 more free throws than 2-point goals, so how many points did she score with just her league leading 3-pointers? Answers:1. b = bricklayer pay rate, c = carpenter pay rate. 5b + 3c = 891 12b + 4c = 1748 Multiply top equation by 4, bottom equation by 3: 20b + 12c = 3564 36b + 12c = 5244 Subtract top equation from bottom equation: 16b = 1680; b = 105. Substituting into either equation, we get c = 122. Therefore (2)(105) + (5)(122) =$820. 2. d = number of dimes; q = number of quarters. d + q = 16 10d + 25q = 295 cents. Multiply the top equation by 10: 10d + 10q = 160; Subtract this from the 2nd equation: 15q = 135 q = 9. Aaron has 9 quarters worth \$2.25. 3. Let a = number of free throws made, b = number of two point shots made, and c = number of three point shots made. a + b + c = 355 shots made (eq 1) a + 2b + 3c = 646 points scored. (eq 2) Since there were 37 more free throws than 2-pointers, then a - b = 37. (eq 3) Multiply equation 1 by 3: 3a + 3b + 3c = 1065 (eq 4) Subtract equation 2 from equation 4: 2a + b = 419 (eq 5) Add equation 3 to equation 5: 3a = 456; Solving, a = 152 free throws made. Using equation 3: 152 - b = 37; Solving, b = 115 two point shots made. Using equation 1: 152 + 115 + c = 355; Solving, c = 88 three point shots made, or 3 * 88 = 264 points from three point shots made.

Question:6.) 8 + 4m = 9m - 7 10.) 5h - 7 = 2 (h = 1) 12.) 7 (r + 7) = 5r + 59 14.) 5 (n = 2) = 3/5(5 + 10n) Math algebra equations help

Answers:6.) 8 + 4m = 9m - 7 -4m -4m 8 =5m - 7 +7 +7 15= 5m 3 = m 10. 5h - 7 = 2( h + 1) -distrutive Prop.- 5h - 7 = 2h + 2 -2h +7 -2h +7 3h = 9 h=3 12. 7 (r +7) = 5r + 59 7r + 49 = 5r + 59 -5r -49 -5r -49 2r = 10 r = 5 14. 5 (n + 2) = 3/5(5 + 10n) 5n + 10 = 3 +6n -5n -3 -3 -5n 7 = n Feel free to look over it.

Question:My math text book does not give explanations for the practice problems and I would really like to see where I am going wrong. Does anybody know of a free equation solver that goes step by step through the solution? I have tried algebra.com and it didn't work so well.