Step-by-step explanation:
[tex]2x + 9y = 11........(1)\\ 3x + 8y = 18......(2) \\ from {1} \: make \: x \: the \: subject \: of \: formula \\ x = \frac{11 - 9y}{2} \\ 3 \frac{11 - 9y}{2} + 8y = 18 \\ \frac{33 - 27y}{2} + 8y = 18 \\ \frac{33 - 27y + 16y}{2} = 18 \\ cross \: multiply \\ 33 - 27y + 16y =36 \\ collect \: like \: terms \\ - 27y + 16y = 36 - 33 \\ - 11y = 3 \\ y = \frac{ - 11}{3} \\ to \: get \: x \\ from \: 2 \\ 3x + 8 \times \frac{11}{3} = 18 \\ 3x + \frac{88}{3} = 18 \\ 9x + 88 = 18 \\ x = \frac{70}{9} [/tex]
