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3 years ago

Solve the following equations:2x-5y-4 x+6y=15

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Answer:

x= 3

y= 2

Step-by-step explanation:

The given equations are :

2x-5y = -4 equation 1

x +6y = 15 equation 2

We will multiply the equation:2 by 2

2(x+6y=15)

2x+12y=30 equation 3

Lets call this equation:3

Now we will use the elimination method:

Subtract equation 3 from equation 1:

2x-5y = -4

2x+12y=30

_________

-17y = -34

y= -34/-17

y = 2

Now put the value of y in any equation:

We will use equation 1

2x-5y = -4

2x-5(2)= -4

2x-10= -4

Move the constant to the R.H.S

2x= -4+10

2x=6

Divide both the terms by 2

x= 3

Therefore the solution set is (x,y){(3,2)}....

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Investment of 1000 at 16% interest rate for 20 years

andreev551 [17]

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7 0

3 years ago

Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today

Hunter-Best [27]

Answer:

$Area = 27.5$

Step-by-step explanation:

Given

$J_{Area} = 440$

$J_{Width} = 22$

$K_{Width} = 5.5$

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle J

$J_{Length} * J_{Width} = J_{Area}$

This gives:

$J_{Length} * 22 = 440$

Divide both sides by 22

$\frac{J_{Length} * 22}{22} = \frac{440}{22}$

$J_{Length} = 20$

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

$J_{Length} : J_{Width} = K_{Length} : `K_{Width}$

Substitute the known values:

$20 : 22 = K_{Length} : `5.5$

Express as fraction:

$\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}$

Make Length, the subject of formula

$K_{Length} = \frac{5.5 * 20}{22}$

$K_{Length} = \frac{110}{22}$

$K_{Length} = 5$

The area of K is:

$Area = K_{Length} * K_{Width$

$Area = 5.5 * 5$

$Area = 27.5$

4 0

3 years ago

Edith needs 65 yards of yarn to knit a baby hat and 580 yards of yarn to knit a baby blanket. A ball of yarn contains 420 feet o

umka2103 [35]

Answer:

Step-by-step explanation:

There are 3 feet in a yard, so 420 feet is 420/3 = 140 yards.

The total number of yards Edith needs is ...

65 yd + 580 yd = 645 yd

So, the total number of balls of yarn Edith needs is ...

(645 yd)/(140 yd/ball) ≈ 4.61 balls

Edith needs to buy 5 balls of yarn to make her projects.

3 0

3 years ago

A collection of nickels and dimes is worth $6.10. There are 67 coins in all. how many nickels are there?

Dmitrij [34]

Question 1:

For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels

Question 2:

For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230

7 0

2 years ago

Help ok so like help please this is due tonight

Dima020 [189]

A
E
H
all have the same vale of 81

5 0

2 years ago

Solve the following equations:2x-5y-4 x+6y=15​

Solve the following equations:2x-5y-4 x+6y=15