Question

simplify and solve the following equation and check your results​

Answer 1

Answer 1:

15(y-4)-2(y-9)+5(y+6) = 0

= 15y-60-2y+18+5y+30

= 15y-2y+5y-60+18+30

= 18y-12 = 0

18y = 12

y = 12/18

y = 6/9

Answer 2:

0.25(4f-3) = 0.05(10f-9)

0.25(4f-3) = 0.05(10f-9)= 1f-0. 75 = 0.5f-0.45

Bringing same terms on same side

1f-0.5f = -0.45+0.75

1f-0.5f = -0.45+0.75

0.5f = 0.3

f = 0.3/0.5

f = 3/5

(In above answer the no. should not be -18 but it should be +18 )

Answer 2

Given Questions:

(i) 15(y-4) - 2(y-9) + 5(y+6) = 0

(ii) 0.25 (4f-3) = 0.05 (10f-9)

Solutions:

(i) 15(y-4) - 2(y-9) + 5(y+6) = 0

15y - 60 - 2y - 18 + 5y + 30 = 0

15y - 2y + 5y = 60 + 18 -30

15y + 5y - 2y = 60 + 18 -30

18y = 48

y = 48/18

y = 2.66

(ii) 0.25 (4f-3) = 0.05 (10f-9)

f - 0.75 = 0.5f - 0.45

f - 0.5f = 0.75 -0.45

0.5f = 0.3

f = 0.3/0.5

f = 3/5