1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaVladis [17]
3 years ago
6

Solve each equation by substitution

Mathematics
2 answers:
Artemon [7]3 years ago
5 0

Answer:

(1, 7)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 3x + 4

y = 6x + 1

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                              3x + 4 = 6x + 1
  2. Subtract 3x on both sides:           4 = 3x + 1
  3. Subtract 1 on both sides:              3 = 3x
  4. Divide 3 on both sides:                 1 = x
  5. Rewrite:                                          x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = 6x + 1
  2. Substitute in <em>x</em>:                                     y = 6(1) + 1
  3. Multiply:                                                y = 6 + 1
  4. Add:                                                      y = 7
Aneli [31]3 years ago
4 0

Answer:

<em>(1, 7) </em>

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

<em>(1, 7)</em>

You might be interested in
Find the Laplace Transform of the following function. <br><br> f(t) = 10 cos (12t+ 60°) u(t)
allsm [11]

Answer:

L(f(t)) = \frac{5s - 60\sqrt{3} }{s^2 + 144}

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = \frac{5s - 60\sqrt{3} }{s^2 + 144}

8 0
2 years ago
2-(4p+3)=-3(p+2)-(2p+3)
statuscvo [17]
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.

First, get rid of the parenthesis by <em>distributing.

</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign. 
<em>
</em>So you have:     2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>

</em>
8 0
3 years ago
Read 2 more answers
Write four hundred seven trillion six million one hundred five thousand twenty eight in standard form
Ratling [72]
Standard form would be
.407600105028
Hope this helps
4 0
3 years ago
Read 2 more answers
What is the volume of this hemisphere
Goryan [66]

Answer: 294.34 m^3

Step-by-step explanation: The formula for the volume of a hemisphere is 2/3 * 3.14 * radius cubed (r^3). Plugging in the values, we have 2/3 * 3.14 * 5.2^3, and we get roughly 294.339 m^3, or rounded to the nearest hundredth, 294.34 m^3.

Hope this helped!

6 0
2 years ago
Read 2 more answers
The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral
valina [46]

Answer: ASA postulate

Step-by-step explanation:

According to the ASA (Angle-Side-Angle) postulate, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent to each other. '

Here Given: ABCD is a parallelogram

That is, AB ║ CD and AD ║ BC

We have to prove that:The parallelogram ABCD has two pairs of opposite sides equal, that is, AB ≅ CD and AD ≅ BC.

Here BD is the diagonal of the parallelogram ABCD ( shown in the below figure)

Thus, In Δ ABD and Δ CBD

∠ABD ≅ ∠CDB ( alternative interior angles made on parallel lines by the same transversal BD)

BD ≅ BD ( Reflexive )

And, ∠ADB ≅ ∠CBD (  alternative interior angles made on parallel lines by the same transversal BD)

Here, Two angles and the included side of triangle ADB are congruent to two angles and included side of traingle BCD.

Therefore, By ASA postulate of congruence,

Δ ABD ≅ Δ CBD

Thus, By CPCTC, AB ≅ CD and AD ≅ BC.


8 0
3 years ago
Read 2 more answers
Other questions:
  • 3 folders cost $2.91
    13·2 answers
  • What number is diviscible by 2?
    15·2 answers
  • Hellllpppp pleaseee??
    11·2 answers
  • How can i do this one ☝️
    8·2 answers
  • How do you convert 80 mL to fl oz
    5·2 answers
  • Suppose you have an equal sided spinner that is numbered 1 thru 5 and another spinner with 4 equal sections with the colors red,
    8·2 answers
  • Multiply and divide Decimals
    9·2 answers
  • Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is p
    9·1 answer
  • (5xy)^5 fully simplify
    10·2 answers
  • Solve the system of equations:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!