Question

solve for x and y. 3x+2y=106 and 2x+4y=92​

Answer 1

Step-by-step explanation:

$3x + 2y = 16 \: \: \: \: (1) \\ 2x + 4y = 92 \: \: \: (2)$

$divide \: (2) \: by \: 2 \: we \: get \\ x + 2y = 46 \: \: \: \: (3) \\ subtract \: (3) \: from \: (1) \\ we \: get$

$2x = - 30 \\ x = - 15 \\ put \: this \: value \: of \: x \: in \: (1) \\ 3( - 15) + 2y = 16 \\ - 45 + 2y = 16 \\ 2y = 61 \\ y = \frac{61}{2}$