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In Matematika / Sekolah Menengah Atas | 2025-07-11

9. Selesaian dari sistem persamaan linear 2p + q + 2r = 2 tiga variabelp + 2q + r = 4 adalah p+q + 2r = 3

Asked by nuratkkzumaeroh4548

Answer (3)

England. The land was under English control but the land itself was often owned my individuals that the king owed money to,proprieters(business men) and the king.

Answered by Geekhawk | 2024-06-10

The original United States colonies were primarily under English land claims, starting with the establishment of Jamestown in 1607. By the mid-eighteenth century, thirteen colonies had developed, all governed under British charters. Other European countries, such as France and Spain, also held territories, but England had the most significant influence.
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Answered by Geekhawk | 2024-12-26

Jawab:Penjelasan dengan langkah-langkah:The solution to the system of linear equations 2p + q + 2r = 2, p + 2q + r = 4, and p + q + 2r = 3 is p = 1, q = 2, and r = -1. Here's how to solve it:1. Elimination Method:Step 1: Subtract the third equation (p + q + 2r = 3) from the first equation (2p + q + 2r = 2) to eliminate 'q' and 'r':(2p + q + 2r) - (p + q + 2r) = 2 - 3This simplifies to: p = -1Step 2: Substitute p = -1 into the second equation (p + 2q + r = 4) and the third equation (p + q + 2r = 3):-1 + 2q + r = 4 => 2q + r = 5-1 + q + 2r = 3 => q + 2r = 4Step 3: Solve the system of two equations with two variables (2q + r = 5 and q + 2r = 4):From the second equation, we get: q = 4 - 2rSubstitute this value of 'q' into the first equation: 2(4 - 2r) + r = 5Simplify and solve for 'r': 8 - 4r + r = 5 => -3r = -3 => r = 1Substitute the value of 'r' back into the equation q = 4 - 2r: q = 4 - 2(1) => q = 22. Solution:Therefore, the solution to the system of equations is p = -1, q = 2, and r = 1. 3. Verification (Optional):Substitute the values of p, q, and r into all three original equations to verify the solution:2(-1) + 2 + 2(1) = -2 + 2 + 2 = 2 (True)-1 + 2(2) + 1 = -1 + 4 + 1 = 4 (True)-1 + 2 + 2(1) = -1 + 2 + 2 = 3 (True)

Answered by sabarish1305 | 2025-07-12