Question

x/10+y/5=14;x/8+y/6=15 solve by elimination method

Answer 1

ANSWER:-

X is equal to 80

Y is equal to 30


STEP-BY-STEP EXPLANATION :-

$\frac{x}{10} + \frac{y}{5} = 14 \\ \\ \frac{x}{10} + \frac{2y}{10} = 14 \\ \\ x + 2y = 14 \times 10 \\ \\ x + 2y = 140 \: .......(1) \\ \\ 3x + 6y = 420 \\ (multiplying \: both \: side \: by \: 3)\\ \\ \\ \frac{x}{8} + \frac{y}{6} = 15 \\ \\ \frac{3x + 4y}{24} = 15 \\ \\ 3x + 4y = 360 \: ........(2) \\ \\ \\ solving \: by \: elimination \: method \\ \\ \\3x + 6y = 420 \\ \\ 3x + 4y = 360 \\ - \: \: - \: \: \: \: \: - \\ = = = = = = = = = \\ 2y = 60 \\ \\ y = \frac{60}{2} \\ \\ y = 30 \\ \\ \\ obtaining \: x \\ \\ x + 2y = 140 \\ \\ x = 140 - 2y = 140 - 2(30) \\ \\x = 140 - 60 = 80 \\ \\ \\ x = 80 \\ \\ y = 30$

Answer 2

Answer:

Step-by-step explanation: