Solve the system of linear equations.
x + y = 4
2x − 3y = 18

a) (6, 2)
b) (−6, 2)
c) (6, −2)
d) (−6, −2)

The answer is C) (6, -2).

Step-by-step explanation:

First, subtract both sides by y in the first equation, to figure out what x is.  

x+y-y=4-y

x=4-y

x is equal to 4-y. Use substitution to plug that in to the second equation for x.

2x-3y=18

2(4-y)-3y=18

Now, solve for y. Expand.

2(4-y)-3y=18

8-2y-3y=18

Combine like terms.

8-2y-3y=18

8-5y=18

To get y by itself, subtract 8 from both sides.

8-8-5y=18-8

-5y=10

Lastly, divide both sides by -5.

-5/-5y=10/-5

y=-2

Since we know that y is equal to -2, we can solve for x in the equation x=4-y.

x=4-y

x=4-(-2)

*Negative & Negative makes a Positive*

x=6

Therefore, your answer is x being equal to 6, and y being equal to -2.

Hope this helped!

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.