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.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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