elementary algebra help

Question: Solve the following equation: Answer: By cross-multiplication, we get (8x-3) (x-2) = (4x+1) (2x+5) 8x(x-2)-3(x-2) = 4x(2x+5)+1(2x+5) ..

Question: Solve the following equation: Answer: 42y-42 = 35y-21 42y-91y = -21+42 -49y = 21 ..

Question: Draw the graph of y=-4. Answer: ..

Question: Draw the graph of y-6=0. Answer: ..

Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=2 2(1)+a(12) = 10 2+2a=10 2a=8 a=4 (b) ax+2y=6, substitute x=1, y=2 a(1)+2(2)=6 a+4=6 a=6-4 a=2 x+2y=a , substitute x=1, y=2 1+2(2)=a 1+4=a a=5..

Question: Solve the following equation: 5x-(3x-1)=x-4 Answer: 5x-(3x-1)=x-4 5x-3x+1=x-4 2x-x=-4-1 x=-..

Question: Solve the following equation: Answer: 5(2-9x) = 4(15-4x) (by cross multiplication) 10-45 x= 60-16x -45x+16x=60-10 -29x=50 ..

Question: Solve the following equation: Answer: 2x-(1-2x) = 5-3(1+x) 2x-1+2x = 5-3-3x 4x+3x = 5-3+1 7x=3 ..

Question: Solve the following equation: Answer: x=2..

1. a 2 + b 2 = (a + b) 2 - 2ab 2. a 2 + b 2 = (a - b) 2 + 2ab 5. (a + b) 2 = (a - b) 2 + 4ab 7. (a + b + c) 2 = a 2 + b 2 + c 2 + 2 (ab + bc + ca) 8. (a + b) 3 = a 3 + 3a 2 b + 3ab 2 + b 3 = a 3 + b 3 + 3ab (a + b) 9. (a - b) 3 = a 3 - 3a 2 b + 3ab 2 - b 3 = a 3 - b 3 ..