All categories

3 years ago

Solve by using substitution. Express your answer as an ordered pair.

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + y = 10

y = x + 2

Step 2: Solve for x

Substitution

Substitute in y: 3x + (x + 2) = 10
Combine like terms: 4x + 2 = 10
Isolate x term: 4x = 8
Isolate x: x = 2

Step 3: Solve for y

Define equation: y = x + 2
Substitute in y: y = 2 + 2
Add: y = 4

You might be interested in

A distance of 30 miles on a map is represented by a 2-inch line. If the map is enlarged to 3 times its size, what will be the sc

vichka [17]

Answer:

$\frac{1}{5}\frac{in}{miles}$

Step-by-step explanation:

we know that

The original scale of the map is

$\frac{2}{30}\frac{in}{miles}=\frac{1}{15}\frac{in}{miles}$

If the map is enlarged to 3 times its size

then

the new scale will be

$\frac{2*3}{30}\frac{in}{miles}=\frac{6}{30}=\frac{1}{5}\frac{in}{miles}$

4 0

3 years ago

How to factor y^3 +2y^2 + 2y + 1

cupoosta [38]

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

= -1 + 2 - 2 + 1

= 0

As, P(-1) = 0, (y + 1) is a factor.

Use synthetic division or remainder theorem.

-1 1 2 2 1

0 -1 -1 -1

1 1 1 0

quotient = y² + y + 1

y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)

4 0

3 years ago

A closet contains 8 pairs of pants, 10 shirts, and 4 pairs of shoes. How many leaves on a tree diagram would represent all possi

EleoNora [17]

The answer is, there are 320 possible combinations of outfits

7 0

4 years ago

Ramona went out with her 3 sisters, they spent $58 plus

Leto [7]

<h2>Problem:</h2>

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

<h2>Solution:</h2>

$\frac{58 + 58(9\% + 15\%)}{3}$

$= \frac{58 + 58(0.09 + 0.15)}{3}$

$= \frac{58 + 58 \times 0.24}{3}$

$= \frac{58 + 13.92}{3}$

$= \frac{71.92}{3}$

$= 23.97$

<h2>Answer:</h2>

Each of them did spend $23.97

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

8 0

3 years ago

Find all of the missing angles... Just find as many as you can please anything will help.

Anastasy [175]

A = 180 - 143 = 37
b = 143
c = a = 37
e = a = 37
f = 90 - 37 = 53
d = 180 - 85 - 37 = 58
g = 48
h = 180 -48 -48 = 84
k = 180 -84 = 96
m = 180 - 58 - 96 = 26
p = 180 - 26 - 85 = 69
r = 180 -69 = 111
s = p = 69

4 0

3 years ago

Read 2 more answers