All categories

3 years ago

7x+y=-3 2x=3y=-14 what is x what is y

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

<h3>Answer:</h3>

(x, y) = (-1, 4)

<h3>Step-by-step explanation:</h3>

We assume your two equations are ...

7x + y = -3
2x - 3y = -14

You can eliminate the y-variable by multiplying the first equation by 3 and adding the second.

3(7x +y) +(2x -3y) = 3(-3) +(-14)

23x = -23 . . . . . . . simplify

x = -1 . . . . . . . . . . . divide by 23

7(-1) + y = -3 . . . . . substitute for x in the first equation

y = 4 . . . . . . . . . . . add 7

You might be interested in

Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each

alexdok [17]

Ooh, scary math

n+2b=67.5
n=27
27+2b=67.5
minus 27 both sides
2b=40.50
divide both sides by 2
b=20.25

a bracelet costs $20.25

8 0

3 years ago

Read 2 more answers

Please answer it now in two minutes

zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

$sin X = \frac{6}{7}$

$sin X = 0.8571$

$X = sin^{-1}(0.8571)$

$X = 58.99$

$m < X = 59.0$ (rounded to nearest tenth)

4 0

3 years ago

A coach recorded the total time that each of his five cyclists spent training for an upcoming event. Their recorded times, in ho

Galina-37 [17]

Answer:

25 hours and 12 minutes

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?

koban [17]

Answer:

$15.42mi$

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

$P=\frac{1}{2}\pi *d+d$

Plug in 6 for d.

$P=\frac{1}{2}\pi*6+6$

Let's use 3.14 for $\pi$ , just to make it easier, but of course, if it states to round it to something else, just plug in that many values for $\pi$ .

$P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42$

5 0

3 years ago

Read 2 more answers

Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor

charle [14.2K]

Answer:

Jelly beans: $6 for 1 kg

Gummy worms: $7 for 1 kg

Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

-2j - 3g = -33

Solve:

-g = -7

Divide both sides by -1.

g = 7

We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

2j + 2(7) = 26

2j + 14 = 26

Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

j = 6

Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

12 + 14 = 26

26 = 26

3 0

3 years ago