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Harman [31]
3 years ago
7

Solve the system algebraically. y = 3 - x 3x + 4y = 1 What is the value of x? -11 17/2 11

Mathematics
2 answers:
PtichkaEL [24]3 years ago
6 0
Y= 3 -x                         (1)

3x + 4y = 1                  (2)

Substitute (1) for y in (2)

3x + 4(3 - x) = 1

Expand, simplify and then solve for x

3x + 12 - 4x = 1
3x - 4x = 1 -12
-x = -11

x = 11

Aloiza [94]3 years ago
3 0

Answer:

The required value of x = 11

Step-by-step explanation:

The system of equations are given to be :

y = 3 - x .......(1)

3x + 4y = 1 ......(2)

We need to find the value of x by solving these two given system of equations

So, To solve the given equations : Putting value of y from equation (1) into equation (2)

⇒ 3x + 4y = 1

⇒ 3x + 4(3 - x) = 1

⇒ 3x + 12 - 4x = 1

⇒ -x = 1 - 12

⇒ -x = -11

⇒ x = 11

Thus, The required value of x = 11

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5. Classify each triangle by its angle and sides
PIT_PIT [208]

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

3 0
3 years ago
Jim’s Gym had income of $20,350 last month.The total increased by $2,000 this month.What was the percent increase to the nearest
frozen [14]

Answer:

10%

Step-by-step explanation:

To find the percentage, ask yourself, how much is 2000 of the original value which is 20350.   This can be solved by the following equation.

2000/20350=

The answer is approximately 0.09828.   Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%

6 0
3 years ago
The sum of four consecutive integers is 418. Find them.
cupoosta [38]

Answer: 103, 104, 105, and 106

Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.

First represent your 4 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

X + 3 ⇒ fourth integer

Since their sum is 418, our equation reads

x + (x + 1) + (x + 2) + (x + 3) = 418.

Simplifying on the left side we get 4x + 6 = 418.

Now we can subtract 6 from both sides of the equation and we have

4x = 412.

Now just divide both sides by 4 and we find that <em>x = 103</em>.

Finally, make sure you list all your answers.

If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106

Therefore, our 3 consecutive integers are 103, 104, 105, and 106.

5 0
3 years ago
|x-3|= - 2 1/4 Math question
AlladinOne [14]

Answer:

No solution

Step-by-step explanation:

Absolute value can not output a negative result

8 0
3 years ago
Mrs. Hilt bought 15 books. Sh paid $11 for each book. She later sold all 15 books for $25 each. What is the difference between t
sweet [91]
Total amount of money paid
=11 x 15
=$165

total amount of money sold
=25 x 15
=$375

difference
= 375 - 165
=$210
4 0
3 years ago
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