Pre-Calc/Chapter 7: Systems and Matrices/7.3 Solving Linear Systems with Matrices/Solve Applications: Linear Systems in 3-Variables Solve the problem.A company makes 3 types of cable. Cable A requires 3 ... Solve the problem.

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires  2 white, and 1 red. C requires 2 black, 1 white, and 2 red. If 100 black, 110 white and 90 red wires were used, how many of each type cable were made?]]> 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 1.0000000 0.3333333 0 true true abc 30 cable B
93 cable C]]> Incorrect 30 cable B
20 cable C]]> Correct 30 cable B
10 cable C]]> Incorrect 103 cable B
20 cable C]]> Incorrect Solve the problem.A grain dealer sold to one customer 6 bushels of wheat, 2 ... Solve the problem.

A grain dealer sold to one customer 6 bushels of wheat, 2 of corn, and 2 of rye, for $25.00; to another, 2 of wheat, 2 of corn, and 6 of rye, for $35.00; and to a third, 2 of wheat, 6 of corn, and 2 of rye, for $33.00. What was the price per bushel for corn?]]> 1.0000000 0.3333333 0 true true abc $2.10 Incorrect $3.60 Correct $1.60 Incorrect $4.10 Incorrect Pre-Calc/Chapter 7: Systems and Matrices/7.3 Solving Linear Systems with Matrices/Solve Linear System in 3 or 4-Variables Solve the system of equations.  x + y + z - w = 6 2x - y + 3z + 4w = ... Solve the system of equations.

  x + y + z - w = 6
 _{2x - y + 3z + 4w = -4}
 4x + 2y - z - w = -13
 _{-x - 2y + 4z + 3w = 12}]]> 1.0000000 0.3333333 0 true true abc No solution Incorrect (4, -3, -5, 2) Incorrect (-4, 3, 5, -2) Correct ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmAFwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7+/Zw/wCKn+HGlfEa/wD3/iDx1ZQa7cTyfM9vazBp7PT1bp5VrDOIhtVFd/NmKLJPKW9Vryr9k7/k1j4N/wDYmaN/6Qw16rQB5l4Y8eeJ7z47+LPB2sQaTHo9lo1lq2nGxErXAWa4uoSJpGIViRbK2FRdu8rufG4+m15jpnwy8U2Xx61bx7N4n0ibRL/S4NI/sSPQ5UuY4YXnljb7UbsqX8y4kLHyQCoUAKQWPp1U7WjbtqVNpzfLtp+Sv+NzzLVfHnifS/2gPDfhOWDSR4W1nSNRvInQSvfebataDczZVEU/amGwKx+QNvG7aPTa8x8U/DLxTrnxs8KeNrLxPpFlo+hWd1YnSJ9DlnuJ47loGnP2kXaKrf6NGEPlELlsh8jHp1Dtyxtvrf73+gSabVux5l8TvHnifwd4/wDhxY2EGkt4c8Qaz/ZN69yJXuyxtLqcGIAqkYX7MvLb93mEbU25b02vMfi/8MvFPxA1/wAEX+g+J9I0CDw1qn9rmDUdDlv2uZvImgC70u4AibLiTjax3bTkAFW9Op+7yLvqE2m1bt+N3+lgrN8Rtqy6Ldf2Etk2rFcW51FnECEkAu4QFmCjLbRjdgLuTO4aVUNeg1K50a8i0a7tLDVHiK21zfWrXUET9meJZI2cf7IdSfUVlLZhF2aZ5R4T/tH9oz9nDwnr17c2vh/xjqOlQ6vp2s6fbMw0fU2hYR3MMbSbiql2VomcrLG8kUm6OR1bsfg38Rpvit8O9P8AEV3odx4Z1J5rqw1DRrmeOdrK9tbmW1uYhLGSkirNBIFkGNyhWwucCp8B/hzq3wj+Fmg+DtX1yy8RPo1ulnb31lpr2IaBFCoHjaebL8HLBgDkYUY5yv2af+Sdav8A9jn4s/8AUh1GtqnK5tx2E7Xdtjm/gL8NfCPxM/ZL+Cdl4w8K6J4rs7fwho00NvrenQ3kcT/YIhuVZVYBsEjI5wa9MX4R+BU8Dv4LXwX4eHg5yGfw8NKg/s9iJBICbfZ5Z+cB/u/eAPWuX/ZO/wCTWPg3/wBiZo3/AKQw16rWa0ul1FufNd/8KPgXa/GnRfh9F8BvA05v9NvL+XVj4bsFiheA2/7gL5JLuVuVYnICgp97cdvtemWGpeKdP8SWXi/TNNm0W/mmtLfSZrdZfMsSgjZboF3jk8w+Y20ADy3VWG7dXig+AvxJ0r9pLw34tsvFb6r4J086gZ4NT1Gziuv9MaJ5USGHSBlFaJR89yXYKmHjCsr/AEpVvkcIOO9nf1u/0shy+Ky/r+up8ueMvgz8PfCPjHRbf/hmX4a3nhPUdVt9IOpLY2I1BZJc/vksxZlHhU8sTOrhVdvLwvPvXhSw1LSdUvdMg0zTdE8F6ZbW1jo1haW6xuAiHcy7HKJAFMcaR7FYGN8/KVryz4k/A/Wfix47sbnXPCvgiGPTNQtrrTvHdrNL/wAJBaW8FwtwlvFEbf8AdkkNGXF1t+dn8o52V75UR+HX+lp/wf6sxS+Ky2/XX/gf1dHyR8WvAXwb+HnjTTvD1p8HfgFDNewRPEPGN3Z6HNcSSSOix28Q06fzjlOcEHLKMGvoHwn4buPBup6f4f8ADfh3Q/CvgKwsXY2WnWiRI11JLv22yxMqxop81nLRAu0qFT9+ud+LHg7xj42XX/DljovhG68MeI9O/s281fUrmZL60iZXVh9lFvIl2F8x3QNNCMuRjgs3p+m2Eelada2ULO0VtEkKNI25iFAAye5460La7/r/AIbp/wAAc/iSXb/L8/w+enG6h8Bfhlq/is+KL74deE73xKZ0uTrNxodrJeGVcbZPOKF9w2rhs5GB6Vm/GD4P+FPHUX9sXvwq8HfETxTHElpat4otLfakQZm2vcvBM6RqWc4RHOWOF5JHptcn8T/+EzbwjcxeAodJl8QyssaSazevaRQxn78islvPmQD7oaMrkgnIG1k3aPKthxV5anBfs6+DvBFnFq+r6P8ACbwt8NfFun3lzoOpjw/YW6htjI5EV1HDE0sLjyXG5EOQAyhlrU/Zp/5J1q//AGOfiz/1IdRroPhLpev6H4VGna/oOkaBLBK5ii0nXJ9WE4c73mlmmtbdjK8jOzfK2SSxbJIHP/s0/wDJOtX/AOxz8Wf+pDqNXLR/1/Xy1tsQuvz/AOAHwU/4oW81X4Sv++j8I2VrdaTcR/cGjXM13HYWzA/MJbdbOS3JJcyJDFKzl5pEj9VooqRhRRRQAUUUUAFFFFABRRRQB5/8ZfFOqaPo+k+H/D11/ZvinxheyaDpGqvGskWmzmzublrt0YESeVDazOsRGJJFjjYxq7SJ0HgDwB4d+Fng3SfCfhPSbfQ/D2lQi3s7G2B2xrkkkkklmZizM7EszMzMSSSSigD/2Q== Incorrect Pre-Calc/Chapter 7: Systems and Matrices/7.3 Solving Linear Systems with Matrices/Solve System using RREF Solve the system of equations by finding the reduced row echelon form for ... Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

2x + 4y + 10z = 42
 x + 2y + 5z = -18
 x + y + z = -2]]> 1.0000000 0.3333333 0 true true abc No solution Correct (-2, -4, 2) Incorrect (2, -4, -2) Incorrect (-2, 2, -4) Incorrect Solve the system of equations by finding the reduced row echelon form for ... Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

 x + y + z = -6
 x - y + 2z = -16
3x + y + z = -16]]> 1.0000000 0.3333333 0 true true abc No solution Incorrect (-4, -5, 3) Incorrect (-4, 3, -5) Incorrect (-5, 3, -4) Correct Solve the system of equations by finding the reduced row echelon form for ... Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

x + 2y + 3z = -21
 5y + 4z = -32
 z = -3]]> 1.0000000 0.3333333 0 true true abc (-3, -4, -4) Incorrect No solution Incorrect (-4, -4, -3) Correct (-4, -3, -4) Incorrect