Linear Systems 3x3 Worksheets Grade 12

1. x + 3y - z = 6, 2x - y + 4z = 1, 3x + 2y - z = 11
2. 2x + y - z = 5, x - 3y + 2z = -5, 3x + 2y + z = 10
3. Solve: 2x + y - z = 11, x - 2y + 3z = 9, 3x + y + 2z = 18

…and 6 more problems

1. Olivia is analyzing the nutritional content of a custom trail mix containing almonds, cashews, and peanuts. In a 45-gram sample, the almond content is 5 grams more than the cashew content. The peanut content is 10 grams less than twice the cashew content. The total mass of almonds and peanuts together is 35 grams. How many grams of cashews are in the sample?
2. Solve: 3x + y - z = 7, x - 3y + 2z = -1, 2x + y + z = 9
3. Solve: 4x + 2y - 5z = 10, x - 3y + z = -5, 2x + y + 3z = 15

…and 5 more problems

1. Aroha is managing a small business that produces three types of candles: lavender, sandalwood, and vanilla. In one production run, she uses wax, fragrance oil, and wicks. For lavender candles, she uses 3 units of wax, 2 units of fragrance oil, and 1 unit of wicks. For sandalwood candles, she uses 4 units of wax, 1 unit of fragrance oil, and 2 units of wicks. For vanilla candles, she uses 2 units of wax, 3 units of fragrance oil, and 1 unit of wicks. If Aroha used 41 total units of wax, 29 total units of fragrance oil, and 18 total units of wicks, how many vanilla candles did she produce?
2. Solve: 2x + 3y - 2z = 7, x - 2y + 4z = -2, 3x + y - z = 12
3. Solve: 4x + 2y - 6z = 14, 2x - 4y + 2z = -4, 6x + 4y - 2z = 18

…and 5 more problems