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
VARVARA [1.3K]
3 years ago
9

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combin

e like terms: Apply the subtraction property of equality: Apply the division property of equality:
Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

X = 1

Step-by-step explanation:

To solve the system of equation by susbtitution:

3x + y = 9

y = –4x + 10

We can follow the steps thus:

<em />

<em>Substitute the value of y in the first equation:</em>

As in the second equation y = -4x + 10 we can substitute in the first equation as follows:

3x + y = 9

3x + -4x + 10 = 9

<em>Combine like terms: </em>

3x + -4x + 10 = 9

Like therms are the therms with X (3x - 4x = -1x):

-1x + 10 = 9

<em>Apply the subtraction property of equality: </em>

-1x + 10 = 9

As 10 is suming, it passes to subtracting the 9:

-1x  = 9 - 10

-1x = -1

<em>Apply the division property of equality:</em>

-1x = -1

Dividing in -1:

x = -1 / -1

<h3>X = 1</h3>
You might be interested in
Please help!!!!!!!!!!
aksik [14]
The answer is 9
You divide by 1215 by 15 and the answer is 81
Then you find the square root of 81 and the answer is 9
5 0
2 years ago
Read 2 more answers
Find the value of x and y to the nearest tenth
Readme [11.4K]
The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
    cos30° = b/34 [adjacent over hypotenuse]
    b = 34cos30° [cross-multiply]
    b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
     l² + l² = hyp²
     29.4² + h² = 34²
     h² = 1156 - 864.36
     √h² = √291.64
     h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.     
  Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
     x = 17.1 × √2
     x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u />     y = a + b
     y = 17.1 + 29.4
     y = 46.5

And there you have it! <em>Hope this helps.</em>
     <em>
</em>
5 0
3 years ago
What's an expression that represents the sum of 7 and x?
babunello [35]
Its simple, the expression is 7+x and it does not have an equal sign since it is not an equation
5 0
3 years ago
Read 2 more answers
Can someone help please
yanalaym [24]

Step-by-step explanation:

a) The volume of the prism is

V = (n^2 - 1)×(n^2 - 1)×(5n)

\:\:\:\:= (n^4 - 2n^2 + 1)(5n)

\:\:\:\:=5n^5 - 10n^3 + 5n

b) If the dimensions L of the prism are tripled, the new volume will be

V' = (3L)^3 = 27L^3 = 27V

so it will increase by a factor of 27.

7 0
3 years ago
Please help! What is the value of B in the following proportion?
madreJ [45]

Answer:

B. 143

Step-by-step explanation:

11        b

----- = -------

12          156

using cross products

11 * 156 = 12 b

divide by 12

11 * 156/12 = b

11 * 13 = b

143 = b

7 0
3 years ago
Read 2 more answers
Other questions:
  • At a bake sale Bailey is selling plates with 3 chocolate chip cookies each Julio is selling plates with 2 sugar cookies each if
    8·1 answer
  • can someone please help me with this question What is the minimum value of the quadratic function f(x) = x² - 2x + 7
    5·1 answer
  • Whats the answer for (9x - 6)
    5·1 answer
  • Can someone help me ? Its due today please
    10·2 answers
  • I don’t u sweat and this
    15·2 answers
  • Help i need to turn this in tomorrow
    13·1 answer
  • D =
    11·1 answer
  • Which of the following is not possible?
    10·2 answers
  • Simplify the expression.
    8·1 answer
  • Whixh list of numbers is ordered from least to greatest?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!