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3 years ago

Use elimination to solve the system below: 4x – 3y = 22 2x – y = 10

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

Y = -2, X = 4

Step-by-step explanation:

When you first use the elimination method, you would multiply 2x-y = 10 by -2 so that you could get the 4x to be eliminated.

4x-3y = 22

(2x-y = 10)-2 = -4x + 2y = -20

When you add those 2 together you are left with -y = 2, which you divide by negative to get y = -2. Then you substitute -2 for y to solve for x. I substituted the bottom equation

2x - (-2) = 10

2x +2 = 10

2x = 8

Divide both sides by 2 to get x = 4.

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Wilbur spends 2/3 of his income, share 1/12, and saves the rest. What part of his income does he save? Give the answer in simple

scoundrel [369]

Answer:

1/4 of his income.

Step-by-step explanation:

If Wilbur spends 2/3 of his income, 1/3 or 4/12 of it is left for other purposes (It is easier if everything has a common denominator of 12). And if he shares 1/12 of that remaining amount, there is 3/12 left. And when we simplify 3/12, we get 1/4.

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7 0

3 years ago

What is j divided by 9 is 5

kobusy [5.1K]

J/9=5
Multiply both sides by 9
Which gets you
j = 45

8 0

3 years ago

Read 2 more answers

Which exponential function is represented by the graph

tamaranim1 [39]

Answer:

the answer is "B" the second one...

(1/2)(2)^x

0 = (1/2)(1) = 1/2

2= (1/2)(4) = 2

Step-by-step explanation:

5 0

3 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

Calcium:

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$

Vitamin A:

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

$60x+10y=1,100$

Solve the system of two equations:

$\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.$

Divide each equation by 10:

$\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.$

From the second equation:

$y=110-6x$

Substitute it into the first equation:

$2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50$

6 0

3 years ago

You bought a baseball card for $5. It appreciates 5% every year. How much will the card be worth after 38 years?

goldenfox [79]

Answer:

$ 31.925

Step-by-step explanation:

Final Value = a (1+r)^n

a = initial amount, r = appreciation rate, n = no. of time periods

a = 5 , r = 5% = 0.05 , n = 38

5 (1+0.05)^38

5 (1.05)^38

5 (6.385)

= 31.925

7 0

3 years ago