Question

Solve the equation
2x+9y=11
3x+8y=18

Answer 1

Explanation:

`2x + 9y = 11........(1)\\ 3x + 8y = 18......(2) \\ from {1} \: make \: x \: the \: subject \: of \: formula \\ x = (11 - 9y)/(2) \\ 3 (11 - 9y)/(2) + 8y = 18 \\ (33 - 27y)/(2) + 8y = 18 \\ (33 - 27y + 16y)/(2) = 18 \\ cross \: multiply \\ 33 - 27y + 16y =36 \\ collect \: like \: terms \\ - 27y + 16y = 36 - 33 \\ - 11y = 3 \\ y = ( - 11)/(3) \\ to \: get \: x \\ from \: 2 \\ 3x + 8 * (11)/(3) = 18 \\ 3x + (88)/(3) = 18 \\ 9x + 88 = 18 \\ x = (70)/(9)`