Question

8y-2d=0 5y+4d=26 1/4

Answer 1

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          5y + 4d = 105/4      {add (I) &(II)}

             21y        = 105/4

$y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1$

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

Answer 2

Answer:

  (y, d) = (1.25, 5)

Step-by-step explanation:

We can add twice the first equation to the second.

  2(8y -2d) +(5y +4d) = 2(0) +26 1/4

  21y = 26 1/4

  y = (105/4)/21 = 105/84 = 5/4

  8(5/4) -2d = 0

  5 = d . . . . . . . . . . add 2d, divide by 2

The solution to this system of equations is ...

  y = 5/4, d = 5