Question

Check whether the pair of linear equations 5x - 4y + 8 = 0 and 7x + 6y-9=0 is consistent
If so solve the equations graphically.​

Answer 1

Answer:

x= -6/29 y= -202/116

Step-by-step explanation:

$5x - 4y + 8 = 0 \: \: and \: \: 7x + 6y - 9 = 0 \\ 5x - 4y = - 8 ..........1 \\ 7x + 6y = 9...........2 \\ from \: equation \: 1 \: multiple \: with \: 3 \\ 15x -12y = - 24..........3 \\ from \: equation \: 2 \: multiple \: with \: \: 2 \\ 14x + 12y = 18...........4 \\ from \: \: equation \: 3 \: \: and \: \: 4 \: to \: sum \\ \: \: \: \: \: \: 15x - 12y = - 24 \\ + \: \: 14x + 12y = 18 \\ sum \: of \: equation \: is \: \\ 29x = - 6 \\ x = - 6 \div 29 \\ \\ the \: x \: value \: put \: in \: equation \: 1 \\ 5x - 4y = - 8 \\ 5 \times - 6 \div 29 - 4y= - 8 \\ - 30 \div 29 - 4y = - 8 \\ cross \: multiple \:i n \: left \\ 29 \times ( - 4y) - 30 \div 29 = - 8 \\ - 116y - 30 \div 29 = - 8 \\ - 116y - 30 = - 8 \times 29 \\ - 116y - 30 = - 232 \\ - 116y = - 232 + 30 \\ - 116y = - 202 \\ y = - 202 \div 116$