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
Korvikt [17]
3 years ago
12

Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (

1, −3)
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Step-by-step explanation:

Given.

3x+5y=3

x+2y=0

Take the second equation and subtract 2y to both sides.

(x+2y)-2y=0-2y

x=-2y

Substitute x into the first equation and simplify.

3x+5y=3

3(-2y)+5y=3

-6y+5y=3

-y=3

Invert.

y=-3

Substitute Y into your second equation.

x+2y=0

x+2(-3)=0

x-6=0

Add -6 to both sides.

(x-6)+6=0+6

x=6

Answer:

(6, -3)

You might be interested in
What is the area of the polygon ?
Effectus [21]

Answer:

C)  99 in²

Step-by-step explanation:

you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"

area of rectangle:  12 x 4 = 48

area of trapezoid:  1/2(6)(12+5) = 3(17) = 51

total area = 48 + 51

total area = 99 in²

7 0
3 years ago
Read 2 more answers
a restaurant owner bought 4 boxes of disposable cups for $145 , with each box containing 1,656 cups. if he wanted to divvy up th
snow_lady [41]
1104 cups per 1 restaurant

There are FOUR boxes EACH containing 1656 cups, MEANING that you will do 1656 x 4, getting 6624.

You divide this by 6, and TADA!

Hope this helps!
5 0
3 years ago
CAN SOMEONE PLEASE HELP ME OUT ​
liberstina [14]

Answer:

Similarly: yes

Similarly Statement: LMNO ≈ ZWXY

Scale factor: 2/7

Answered by GAUTHMATH

6 0
3 years ago
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
solmaris [256]

Answer:

1. m∠R > 90°

2. m∠S + m∠T < 90°

4. m∠R > m∠T

5. m∠R > m∠S

Step-by-step explanation:

<h3>General strategy</h3>
  1. prove the statement starting from known facts, or
  2. disprove the statement by finding a counterexample

Helpful fact:  Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.

<u>Option 1.  m∠R > 90°</u>

Start with m∠R > m∠S + m∠T.

Adding m∠R to both sides of the inequality...

m∠R + m∠R > m∠R + m∠S + m∠T

There are two things to note here:

  1. The left side of this inequality is 2*m∠R
  2. The right side of the inequality is exactly equal to the Triangle Sum Theorem expression

2* m∠R > 180°

Dividing both sides of the inequality by 2...

m∠R > 90°

So, the first option must be true.

<u>Option 2.  m∠S + m∠T < 90°</u>

Start with m∠R > m∠S + m∠T.

Adding (m∠S + m∠T) to both sides of the inequality...

m∠R + (m∠S + m∠T) >  m∠S + m∠T + (m∠S + m∠T)

There are two things to note here:

  1. The left side of this inequality is exactly equal to the Triangle Sum Theorem expression
  2. The right side of the inequality is 2*(m∠S+m∠T)

Substituting

180° > 2* (m∠S+m∠T)

Dividing both sides of the inequality by 2...

90° > m∠S+m∠T

So, the second option must be true.

<u>Option 3.  m∠S = m∠T</u>

Not necessarily.  While m∠S could equal m∠T, it doesn't have to.  

Example 1:  m∠S = m∠T = 10°;  By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.

Example 2:  m∠S = 15°, and m∠T = 10°;  By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.

So, option 3 does NOT have to be true.

<u>Option 4.  m∠R > m∠T</u>

Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.

Add m∠T to both sides.

(m∠S) + m∠T > (0) + m∠T

m∠S + m∠T > m∠T

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠T.

So, option 4 must be true.

<u>Option 5.  m∠R > m∠S</u>

Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.

Add m∠S to both sides.

m∠S + (m∠T) > m∠S + (0)

m∠S + m∠T > m∠S

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠S.

So, option 5 must be true.

<u>Option 6.  m∠S > m∠T</u>

Not necessarily.  While m∠S could be greater than m∠T, it doesn't have to be.  (See examples 1 and 2 from option 3.)

So, option 6 does NOT have to be true.

4 0
1 year ago
The cake store is having a 25% off sale on all of its cakes. If the cake you want regularly costs $9 how much would you save wit
Gre4nikov [31]
9(.25)=2.25
You would save $2.25
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you do write 30,000 as a whole number
    12·1 answer
  • How many days r there in 5 years?
    7·1 answer
  • Order numbers from greatest to least:3.01,3.10,0.31,and 0.13
    15·2 answers
  • DF bisects EDG. Find FG. the diagram is not scale.<br> PLEASE SHOW ALL STEPS
    11·2 answers
  • When multiplying signed numbers, how do you know whether the number is positive or negative?
    7·1 answer
  • -1/4x -8&lt;3/4<br><br> X&lt;9 <br> X&gt;-35<br> X&lt;8 3/4 <br> X &lt;2 3/16
    15·1 answer
  • for edmentum or plato how do you make a chart or graph larger. not enough rows for my checkbook assignment ​
    9·1 answer
  • Please help with geometry. need to find x and y, in picture
    15·1 answer
  • Find the value of the sum ∑j=131(6j2−7j+4)
    11·2 answers
  • Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!