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
Lunna [17]
3 years ago
13

How do you use subsitution for5x+2y=4

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

You might be interested in
Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersec
Yuki888 [10]

Answer:

The Answer would be <em>C</em>

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the greatest common factor of 35,10
storchak [24]

Answer:

5

Step-by-step explanation:

Factors of 35: 1,5,7,35

Factors of 10: 1,2,5,10

5 is the greatest common factor.

4 0
3 years ago
Read 2 more answers
Is 7/8 equivalent to 3/4?
fredd [130]
No, 3/4 is equivalent to 6/8 and 7/8 is in its final form
8 0
3 years ago
a cookie recipe yields 48 cookies calls for 2 cups of flour. a different cookie recipe yield 60 cookies calls for 3 cups. Are th
fenix001 [56]
No they are not.
48/2 = 24, 60/3=20.
24/=20. (24 does not equal 20)
6 0
3 years ago
Read 2 more answers
4x2 + 4x - 1, evaluate and fully simplify each of the - For the function f(0) following f(s + h) f(x + h) - f(5) h 10
Andrew [12]

Given the function f(x);

f(x)=-4x^2+4x-1

Evaluating the function f(x+h);

\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}

So;

f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1

Evaluating the second function;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}

simplifying further;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}

Therefore, we have;

undefined

7 0
1 year ago
Other questions:
  • The temperature on Monday was 1°C. The next day it was down 3 degrees. What temperature was it on tuesday ?
    7·1 answer
  • What is 1.16 rounded to the nearest tenths?
    5·2 answers
  • HELP ASAP!!! What is the solution to the model below? Question 3 options: x = 3 x = 7 x = 2 x = 1
    7·2 answers
  • PLEASE HELP ITS DUE TOMORROW AT 9AM
    15·1 answer
  • Solve the equation 4(x + 5) = 9x + 4x - 34, and show your work
    9·1 answer
  • How many solutions does the following equation have? -14(z-5)=-14x+70
    5·1 answer
  • Where is the function decreasing?
    9·2 answers
  • Pls help this was due 3 minutes ago!!!!
    11·2 answers
  • Question 2(Multiple Choice Worth 1 points)
    8·1 answer
  • HELLLLPPPP PLEASE THIS IS DUE TONIGHT PLEASE EXPLAIN YOUR THINKING
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!