The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers. Please use system of linear equations by elimination OR substitution. Please show the work as well.

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

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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