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
kirill115 [55]
3 years ago
13

Use properties of equality to Solve 7+3x = 5x+13 for x

Mathematics
1 answer:
mario62 [17]3 years ago
8 0
We basically have to cancel values on both sides until they are both on common ground.

7 + 3x = 5x + 13

-7 from both sides...

3x = 5x + 6

-5x from both sides...

-2x = 6

/-2 from both sides...

x = -3


Hope this helps!
You might be interested in
The bigger of two numbers is four more
Otrada [13]

Answer:

X=the smaller

y=the larger

The bigger of two numbers is four more than the smaller, then:

y=x+4

one more than twice the smaller is the same as the larger, then

1+2x=y

We have the following system of equations:

y=x+4

y=2x+1

We solve this system by equal values method:

x+4=2x+1

x-2x=1-4

-x=-3

x=3

We find the value of "y"now:

y=x+4

y=3+4

y=7

the values of x and y are:

x=3

y=7

Step-by-step explanation:

7 0
3 years ago
Solve the equation. \dfrac32 + b = \dfrac74 2 3 ​ +b= 4 7 ​ start fraction, 3, divided by, 2, end fraction, plus, b, equals, sta
Xelga [282]

Given:

The equation is

\dfrac{3}{2}+b=\dfrac{7}{4}

To find:

The value of b.

Solution:

We have,

\dfrac{3}{2}+b=\dfrac{7}{4}

Subtracting both sides by \dfrac{3}{2}, we get

b=\dfrac{7}{4}-\dfrac{3}{2}

b=\dfrac{7-2(3)}{4}

b=\dfrac{7-6}{4}

b=\dfrac{1}{4}

Therefore, the value of b is \dfrac{1}{4}.

3 0
2 years ago
Read 2 more answers
Answer if u love cats & dogs
eimsori [14]

Answer:

<em>(7, 5.25)</em> lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4,   6,  8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given as:

y=mx+c

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5

Formula for slope is:

m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}

Now, the equation of line becomes:

y=\dfrac{3}{4}x+c

Putting the point (4,3) in the above equation to find <em>c</em>:

3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0

So, final equation of given function is:

y=\dfrac{3}{4}x

OR

4y=3x

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.

So correct answer is (7, 5.25).

6 0
3 years ago
Pattern x: Starts at 0. Rule: Add 3.
raketka [301]
I think (0,0) is the only one that starts at 0 for both x and y and stay the same if the add the 3 to x and 6 to y.
5 0
3 years ago
Please help
Mice21 [21]

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

y = a*(x - h)^2 + k

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

7 0
3 years ago
Other questions:
  • Find the measure of angle 2 if m∠2=4x−26 and m∠4=3x+4
    7·1 answer
  • 4(0.2x-5)=12 what is x
    14·1 answer
  • Ages of sylvans daughters are consecutive even integers. The sum of their ages is 60. Write an equation representing and find ag
    10·1 answer
  • What's the second question answer??
    11·1 answer
  • What is equal to 2 quarts
    7·2 answers
  • Which equation represents a line that passes through (2,-2) and has a slope of 3?
    14·1 answer
  • Determine the coordinates of the vertices of the rectangle to compite the area of the rectangle using the distance formula.​
    8·1 answer
  • Robert planted 12 daffodil bulbs and 18 tulip bulbs in his garden last winter. If all the bulbs sprout and
    11·1 answer
  • Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His
    5·1 answer
  • There are two paths that one can use to go from Sarah’s house to James’ house. One way is to take C street, and the other way re
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!