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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b