Solve the system by substitution. Check your solution.

The solution is (9, 126).

Step-by-step explanation:

Multiply all three terms of the first equation by 100 to remove the decimal fractions.  We get:

50x + 25y = 3600

Next, solve the second equatin for y, obtaining y = 16x - 18.  Now substitute 16x - 18 for y in 50x + 25y = 3600:  

50x + 25(16x - 18) = 3600, or 50x + 400x - 450 = 3600.

Combining like terms leads to:          450x = + 450 + 3600 = 4050

Diving both sides by 450 yields x = 4050/450 = 9.

Then x = 9.

Substituting 9 for x in the second equation yields y = -18 + 16(9) = 126.

The solution is (9, 126).

Check by substituting this result into the first equation:

0.5(9) + 0.25(126) = 36

4.5 + 31.5 = 36       This is true, so the solution (above) is correct.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

i believe it is d.) buddhism and e.) hinduism