Question

solve following
simultenous by subs
8x+3y=11,3x-y=2​

Answer 1

Answer:

x=-5

y=-17

Step-by-step explanation:

$8x - 3y = 11 \\ 3x - y = 2$

Are the given equations

Solving these equations,

$(8x - 3y = 11) \times 1 \\ (3x \ - y = 2) \times 3 \\ \\ (8x - 3y = 11) \\ (9x - 3y = 6) \\ \\ - x = 5 \\ x = - 5$

Substituting x in the first equation,

$8( - 5) - 3y = 11 \\ - 40 - 3y = 11 \\ - 3y = 11 + 40 \\ - 3y = 51 \\ y = \frac{51}{ - 3} \\ y = - 17$

Therefore, x=-5

y=-17

Answer 2

Step-by-step explanation:

8x+ 3y = 11

y = (11 - 8x)/3 --->(1)

substitute in 2nd equation

3x - (11 - 8x)/3 = 2

(9x - 11 - 8x)/3 = 2

x-11 = 6

x = 17

3x - y = 2

3×17-2 = y

51 - 2 = 49 = y