Question

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

Answer 1

(y, d) = (1.25, 5)

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

Answer 2

y = 1

d = 4

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 = (105)/(5*21)\\\\y=(105)/(105)\\\\y = 1`

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

-2d = -8

d = -8/-2

d = 4