Question

3x-5y=6
2x+3y=61

solve this problem by elimination method

Answer 1

6x-10y=12

6x+9y=183

- - = -

-19y=-161

y=161/19

y=9

Answer 2

Answer:

x=17 and y=9

Explanation:

3x-5y=6      ...(1)

2x+3y=61  ...(2)

(1)×2⇒6x-10y=12 ...(3)

(2)×3⇒6x+9y=183 ...(4)

(3)-(4)

-19y=-171

y=-171÷(-9)

y=9

substitute y=9 in (1)

3x-5×9=6

3x-45=6

3x=6=45

3x=51

x=51÷3

x=17

therefore x⇒17 and y⇒17