Question

What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38​

Answer 1

`3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = (60)/( - 6) \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 * - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = ( - 52)/(4) \\ y = - 13`