All categories

2 years ago

Solve,y=5 and 3x +2y=-5

Mathematics

2 answers:

ddd [48]2 years ago

7 0

Answer:

x = -5

y = 5

Step-by-step explanation:

We are given the system of equations :

3x + 2y = -5

y = 5

This can be solved through the process of substitution, mainly because y in the second equation already has a value in of its own and can be replaced with the y in the first equation. Therefore :

3x + 2y = -5

y = 5

3x + 2(5) = -5

3x + 10 = -5

Solve for x, first by subtracting ten by both sides :

3x = -15

Divide 3 by both sides to isolate x :

x = -5

Now that we have x, we have solved our system of equations, but let's prove it first.

x = -5

y = 5

3(-5) + 2(5) = -5

-15 + 10 = -5

Therefore, our two variables are x = -5 and y = 5

Allushta [10]2 years ago

5 0

Answer:

x = -5

Step-by-step explanation:

I) Substitute:

3x + 2y = -5

3x + 2(5) = -5

3x + 10 = -5

II) Solve:

3x + 10 = -5

3x = -15 (Subtract 10 from both sides)

x = -5 (Divide both sides by 3)

You might be interested in

Can you put these number from least to greatest?

Eva8 [605]

The correct order would be:

5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3

First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.

3/32 x 4 = 3/8 = .375

3/4 x 2 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3/8 x 4 = 3/2 = 1.5

5/64 x 3 = 5/32 = .156

3.75 x 3 = 11.25

1/16 x 3 = 3/16 = .1875

7/16 x 3 = 21/16 = 1.31

3 3/8 x 3 = 81/8 = 10.125

11/64 x 4 = 11/16 = .687

Now we can use those to put in order.

5/64 x 3 = 5/32 = .156

1/16 x 3 = 3/16 = .1875

3/32 x 4 = 3/8 = .375

11/64 x 4 = 11/16 = .687

7/16 x 3 = 21/16 = 1.31

3/4 x 2 = 3/2 = 1.5

3/8 x 4 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3 3/8 x 3 = 81/8 = 10.125

3.75 x 3 = 11.25

Which if you are looking for without the extra terms, you can check the answer at the top.

5 0

3 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

What’s the answer to this? by the way you have to estimate

Furkat [3]

the answer is 2 if you estimate to the tenths place

7 0

3 years ago

How do you find surface area

Oksana_A [137]

Answer:

look at my explanation

Step-by-step explanation:

Find the area of two sides (Length*Height)*2 sides. Find the area of adjacent sides (Width*Height)*2 sides. Find the area of ends (Length*Width)*2 ends. Add the three areas together to find the surface area

5 0

3 years ago

Which expression is not equivalent to 7(3+5)

irakobra [83]

Answer:

Any expression that doesn't equal 56... You didn't really provide any answer choices, so that's the best answer I have for you...

4 0

3 years ago