Answer:
6.(i)x = -23/5
6.(ii)y = -1
Step-by-step explanation:
6.(i) 3x+5/2x+7 = 4
=>3x+5 = 4(2x+7)
=>3x+5 = 8x+28
=>8x-3x = 3-28
=> 5x = -23
=>x = -23/5
Check
LHS = 3x+5/2x+7 = [{(3*-23/5)+5}/{2*-23/5+7}] = [{(-69/5+5)/(-46/5+7)}] = [{(-44/5)/(-11/5)}] = [{(-44/5)*(5/-11)}] = 4 = RHS
6.(ii) 2y+5/y+4 = 1
=>2y+5 = y+4
=>2y-y = 4-5
=>y = -1
LHS = 2y+5/y+4 = (2*-1+5)/(-1+4) = (-2+5)/3 = 3/3 = 1 = RHS
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Answers & Comments
Answer:
6.(i)x = -23/5
6.(ii)y = -1
Step-by-step explanation:
6.(i) 3x+5/2x+7 = 4
=>3x+5 = 4(2x+7)
=>3x+5 = 8x+28
=>8x-3x = 3-28
=> 5x = -23
=>x = -23/5
Check
LHS = 3x+5/2x+7 = [{(3*-23/5)+5}/{2*-23/5+7}] = [{(-69/5+5)/(-46/5+7)}] = [{(-44/5)/(-11/5)}] = [{(-44/5)*(5/-11)}] = 4 = RHS
6.(ii) 2y+5/y+4 = 1
=>2y+5 = y+4
=>2y-y = 4-5
=>y = -1
Check
LHS = 2y+5/y+4 = (2*-1+5)/(-1+4) = (-2+5)/3 = 3/3 = 1 = RHS