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3 years ago

Solve each equation by substitution

Mathematics

2 answers:

Artemon [7]3 years ago

5 0

Answer:

(1, 7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 3x + 4

y = 6x + 1

Step 2: Solve for x

Substitute in y: 3x + 4 = 6x + 1
Subtract 3x on both sides: 4 = 3x + 1
Subtract 1 on both sides: 3 = 3x
Divide 3 on both sides: 1 = x
Rewrite: x = 1

Step 3: Solve for y

Define original equation: y = 6x + 1
Substitute in x: y = 6(1) + 1
Multiply: y = 6 + 1
Add: y = 7

Aneli [31]3 years ago

4 0

Answer:

(1, 7)

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

(1, 7)

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3 years ago

Read 2 more answers

The work shows how to use long division to find?

KIM [24]

Answer:

remainder = $\frac{1}{x-2}$

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

5x - 9

- (5x - 10)

That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

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2 years ago

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Murljashka [212]

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3 years ago

Someone please help with trig question ASAP!!!! You dont need to do both! Will mark brainliest if right

Zanzabum

Answer:

8 x = 60.10251159

9 x = 3.66062978

Step-by-step explanation:

Hey There!

So to answer these questions we need to use the Law of sines

Consider the following image

So to find x in number 8 we setup an equation

$\frac{x}{sin90} =\frac{48}{sin53}$

now we solve for x

step 1 multiply each side by sin 90

now we have

$x = \frac{48sin90}{sin53}$

if you plug the equation in a calculator you get that

x=60.10251159

( make sure if it says to round to the nearest.... that you round before entering your answer)

For number 9 the equation would be

$\frac{9}{sin90} =\frac{x}{sin24}$

now we solve for x

step 1 multiply each side by sin 24

now we have

$x=\frac{9sin24}{sin90}$

if you plug this into a calculator you get that

x = 3.66062978

(once again if it says to round to the nearest... make sure you round before you put in your answer.)

3 0

2 years ago

SHOW WORK

ivanzaharov [21]

Divide the lengths to find the scale :

35/7 = 5

Now divide the width by the scale to get the scaled width:

30/5 = 6 inches

the scaled drawing is 7 x 6

area of scaled drawing = 7 x 6 = 42 square inches

6 0

2 years ago