Linearne za srednju

Sustavi linearnih jednadžbi
<p>1. Riješi jednadžbe:</p> <p>a) \(§§V1(-5,5,1)§§x + §§V2(3,15,3)§§ = 2x - §§V3(2,10,2)§§\)</p> <p>b) \(4x - 7 = 3x + §§V4(-5,5,1)§§\)</p> <p>c) \(5(x - 2) = 2x - §§V5(4,16,4)§§\)</p> <p>d) \(§§V6(1,5,1)§§x - 8 = 2(x - 3)\)</p> <p>e) \(3x + 4 = 7 - §§V7(1,5,1)§§x\)</p> <p>f) \(§§V8(-3,3,1)§§(x + 2) = 5 - 2x\)</p> <p>g) \(§§V9(-2,2,1)§§(x + 1) = 4 - 3x\)</p> <p>h) \(2(x - 4) = 3 - §§V10(1,5,1)§§x\)</p> <p>i) \(6x + 2 = 3x + §§V11(-4,4,1)§§\)</p> <p>j) \(§§V12(-2,2,1)§§(x - 1) = 4x - 5\)</p> <p>2. Riješi jednadžbe:</p> <p>a) \(§§V1(2,10,1)§§x - §§V2(3,15,3)§§ = §§V3(1,5,1)§§x + §§V4(5,25,5)§§\)</p> <p>b) \(§§V5(-5,5,1)§§(§§V6(2,8,2)§§x - §§V7(3,12,3)§§) = §§V8(2,10,1)§§(§§V9(5,20,5)§§x + §§V10(1,5,1)§§)\)</p> <p>c) \(§§V11(1,5,1)§§\left(\frac{2}{3}(x - §§V12(4,20,4)§§)\right) = §§V13(1,5,1)§§\left(\frac{1}{2}(§§V14(6,30,6)§§x + §§V15(3,15,3)§§)\right)\)</p> <p>d) \(§§V16(0,4,1)§§\left(5(x + §§V17(2,10,2)§§) - 3(§§V18(2,8,2)§§x - §§V19(1,5,1)§§)\right) = §§V20(1,5,1)§§\left(§§V21(4,20,4)§§(3x - 2)\right)\)</p> <p>3. Riješi jednadžbe:</p> <p>a) \(§§V1(-5,5,1)§§x + §§V2(3,15,3)§§ = \frac{2x}{3} - \frac{§§V3(2,10,2)§§}{5}\)</p> <p>b) \(4x - 7 = \frac{3x}{2} + §§V4(-5,5,1)§§\)</p> <p>c) \(5(x - 2) = \frac{2x}{3} - \frac{§§V5(4,16,4)§§}{4}\)</p> <p>d) \(§§V6(1,5,1)§§x - 8 = \frac{2(x - 3)}{3}\)</p> <p>e) \(3x + 4 = 7 - \frac{§§V7(1,5,1)§§x}{2}\)</p> <p>f) \(§§V8(-3,3,1)§§(x + 2) = 5 - \frac{2x}{3}\)</p> <p>g) \(§§V9(-2,2,1)§§(x + 1) = 4 - \frac{3x}{§§V10(1,5,1)§§}\)</p> <p>h) \(2(x - 4) = 3 - \frac{§§V11(1,5,1)§§x}{2}\)</p> <p>i) \(6x + 2 = 3x + §§V12(-4,4,1)§§\)</p> <p>j) \(§§V13(-2,2,1)§§(x - 1) = \frac{4x}{5} - \frac{5}{§§V14(1,5,1)§§}\)</p> <svg width="400" height="400" xmlns="http://www.w3.org/2000/svg"> <!-- X axis --> <line x1="0" y1="200" x2="400" y2="200" stroke="black" stroke-width="1" /> <!-- Y axis --> <line x1="200" y1="0" x2="200" y2="400" stroke="black" stroke-width="1" /> <!-- Grid lines --> <!-- Vertical lines --> <line x1="0" y1="0" x2="0" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="40" y1="0" x2="40" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="80" y1="0" x2="80" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="120" y1="0" x2="120" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="160" y1="0" x2="160" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="240" y1="0" x2="240" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="280" y1="0" x2="280" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="320" y1="0" x2="320" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="360" y1="0" x2="360" y2="400" stroke="gray" stroke-width="0.5" /> <line x1="400" y1="0" x2="400" y2="400" stroke="gray" stroke-width="0.5" /> <!-- Horizontal lines --> <line x1="0" y1="0" x2="400" y2="0" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="40" x2="400" y2="40" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="80" x2="400" y2="80" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="120" x2="400" y2="120" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="160" x2="400" y2="160" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="240" x2="400" y2="240" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="280" x2="400" y2="280" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="320" x2="400" y2="320" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="360" x2="400" y2="360" stroke="gray" stroke-width="0.5" /> <line x1="0" y1="400" x2="400" y2="400" stroke="gray" stroke-width="0.5" /> </svg>
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