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Allushta [10]
3 years ago
5

Solutions to -3y=2x-7

Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0

If you are solving for X, follow this below.

Flip the equation.

2x−7=−3y

Add seven to both sides.

2x−7+7=−3y+7

2x=−3y+7

Divide both sides by 2.

x= -3/2y + 7/2

Therefore, x= -3/2y + 7/2 is your final answer.

IF your solving for Y, follow below.

−3y=2x−7

Divide both sides by three.

-3y/-3 = 2x-7/-3

Therefore, for Y you have y = -2/3x + 7/3 simplified.

maksim [4K]3 years ago
4 0

Answer:

X=-3y/2 + 7/2

y=-2x/3+ 7/3

Step-by-step explanation:

Isolate the variables by dividing each side by factors that don't contain the variable. (solving for x)

Divide each term by −3 and simplify. (solving for y)

You didn't say which one you wanted solve but hope this helps.  

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The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the
Inessa05 [86]

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

  • The length of the hypotenuse of the triangle is <u>26 cm</u>.

Reasons:

Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

\displaystyle x + y = \frac{68}{2} = 34

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>

Learn more about Pythagoras's theorem here:

brainly.com/question/8171420

6 0
2 years ago
Solve question 10 using substitution or elimination. Show all work.
BlackZzzverrR [31]
Solid paper costs 1.75 each
Printed paper costs 2.50 each

Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50

Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8

Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108

Y= 2.50

x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8

X = 1.75

To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50

Hope that helps! Have a good day :)
5 0
2 years ago
debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
3 years ago
Hint: 1 mile = 5280 feet
Ghella [55]

Answer: 4 miles

Step-by-step explanation:

5 0
3 years ago
H(x)=4x-2 find h(-9)
ki77a [65]

Answer:

34

Step-by-step explanation:

H(x) = 4x-2

H(-9) = 4(9)-2

H(-9) = 36 -2

H(-9) = 34

7 0
2 years ago
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