All categories

3 years ago

Solving each system by eliminating x-y+z= -1 x+y+3z= -3 2x-y+2z= 0

Mathematics

1 answer:

Pie3 years ago

4 0

There's only one system of equations here.

Let's eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

Got lucky on that one.

z = -1 - y = -1 - 2 = -3

x = -1 + y - z = -1 + 2 - -3 = 4

Answer: x=4, y=2, z= -3

Check:

x-y+z = 4 - 2 + -3 = -1, good

x+y+3x = 4+2+3(-3) = -3, good

2x-y+2x = 2(4)-2+2(-3) = 0, good

You might be interested in

These questions with these charts are killing me? No matter who I ask no one knows and I already forget /:

xeze [42]

D) 18,240

Its 91,200 ÷ 5

5 0

3 years ago

Read 2 more answers

The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0

2 years ago

Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B

12345 [234]

In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.

After k payments, the amount A still owed is

A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. The amount of the fixed payment is determined byM = Pi/[q(1-[1+(i/q)]-nq)]. The amount of principal that can be paid off in n years isP = M(1-[1+(i/q)]-nq)q/i. The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid isI = Mnq - P.

3 0

2 years ago

Help

kobusy [5.1K]

The equation of the line is y - 3 = 5(x - 8) ⇒ c

Step-by-step explanation:

The point-slope form of the linear equation is $y-y_{1}=m(x-x_{1})$ , where: