Question

solve for x : 3x+1 divide by 7x+1= 5x+1 divide by 7x+5​

Answer 1

Step-by-step explanation:

$(3x + 1)(7x + 5) = (5x + 1)(7x + 1) \\ 21 {x }^{2} + 15x + 7x = 35 {x}^{2} + 5x + 7x + 1 \\ 21 {x}^{2} + 15x + 5 = 35 {x}^{2} + 5x + 1 \\ 35 {x}^{2} + 5x + 1 - 21 {x}^{2} - 1x - 5 = 0 \\ 14 {x}^{2} - 10x - 4 = 0 \\ 14 {x}^{2} - 14x + 4x - 4 = 0 \\ 14x(x - 1) + 4(x - 1) = 0 \\ (x - 1)(14x + 4) = 0 \\ x - 1 = 0 \\ x = 1 \\ 14x + 4 = 0 \\ x = - 4 \div 14 \\ x = - 2 \div 7$

Hence the value of x are 1 & -2/7.