All categories

3 years ago

Solve the following system of equations. 5x+2y =-6 3x-2y = 22

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

5x+2y =-6 ........1

3x-2y = 22 ........2

Add both Equations

we get

8x = 16

Divide both sides by 8

x = 2

Substitute x = 2 into any of the equations

3(2) - 2y = 22

-2y = 22 - 6

- 2y = 18

Divide both sides by -2

y = - 9

x = 2 y = - 9

Hope this helps

You might be interested in

The function g(x) = 3x - 12x + 7 written in vertex form is g(x) = 3(x - 2)2 – 5. What is the vertex of g(x)?

Assoli18 [71]

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ g(x)=3(x-\stackrel{h}{2})^2+(\stackrel{k}{-5})\qquad \qquad \stackrel{\textit{vertex}}{(2,-5)}$

3 0

3 years ago

Suppose you create a graph of the cost function, C = 20n + 500 of a new

ASHA 777 [7]

The answer is C. loss section

3 0

3 years ago

Mary baked 30 cookies. Her family ate of them. Using D write an expression for the number of cookies that remained

Dahasolnce [82]

Answer:

30 divided by 2 = D

Step-by-step explanation:

None

8 0

3 years ago

In ΔUVW, w = 9 cm, v = 2.2 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

Alja [10]

Complete Question

In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

Answer:

16.5°

Step-by-step explanation:

In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

We solve using Sine rule formula

a/sin A = b/sin B

We are solving for angle W

∠V=136°

Hence:

22 /sin 136 = 9 /sin W

Cross Multiply

22 × sin W = sin 136 × 9

sin W = sin 136 × 9/22

W = arc sin [sin 136 × 9/2.2]

W = 16.50975°

W = 16.5°

3 0

3 years ago

What is the value of this expression when c = -4 and d = 10?

lianna [129]

The complete question is

"What is the value of this expression when c= -4 and d= 10?

1/4 (c^3+d²)

A.2

B.9

C.21

D.41"

The value of this expression when c = -4 and d = 10 will be option B 9.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

$1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9$

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

6 0

1 year ago