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Naily [24]
3 years ago
8

Solve: 3x+y=6 4x-2y=18 show all work pls!!!

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

x = 3 and y = -3

Step-by-step explanation:

To start, let's double the first equation to get 6x + 2y = 12. Add this to the second equation to get 10x = 30, so x = 3 and y = -3.

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A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim
valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

n \times 0.05 + d \times 0.10 = 9.15

0.05n + 0.10d = 9.15  ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

<h3>d = 45</h3>

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

<h3>n = 93</h3>

Thus 45 dimes and 93 nickels were in bank

3 0
3 years ago
Which equation will help susan solve her problem let x the legnth of one side of the flag
scoundrel [369]
Susan will need 3 meters of fabric
6 0
3 years ago
Make a conjecture of what the x-intercepts of the function<br> f(x) = (2x - 1)(x + 3) will be.
drek231 [11]

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

3 0
3 years ago
Natalie counted the number of birds she saw each day for 20 days, and she recorded her data in the table. Which scatterplot corr
vlada-n [284]

Answer:

I would answer this question, however there is no picture in order for me to tell.

Step-by-step explanation:

:(

5 0
3 years ago
In the fifth year of operation the profit of a company was 3 times the profit it earned in the first year of operation if its pr
bogdanovich [222]
Let the profit at the first year be X
3x=114000
Solve for x by dividing each side by 3

3x/3=114000/3
X=38,000

So the profit was 38000
4 0
3 years ago
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