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For what value of K, the system 2x + 3y = 5 and 4x + Ky = 10 has infinitely many solutions?

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Section A: 1 mark

  1. For what value of K, the system 2x+3y=52x + 3y = 5 and 4x+Ky=104x + Ky = 10 has infinitely many solutions? For a system of linear equations a1x+b1y+c1=0a_1x + b_1y + c_1 = 0 and a2x+b2y+c2=0a_2x + b_2y + c_2 = 0 to have infinitely many solutions, the condition is a1a2=b1b2=c1c2\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}. Given equations: 2x+3y−5=02x + 3y - 5 = 0 $4
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