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
Ugo [173]
2 years ago
10

© y= 2x + 6 -3x - 5y= 22 Please help with substitution

Mathematics
2 answers:
umka21 [38]2 years ago
7 0

Answer:

[2]    x = -5y - 4

// Plug this in for variable  x  in equation [1]

  [1]    2•(-5y-4) - 5y = 22

  [1]     - 15y = 30

// Solve equation [1] for the variable  y

  [1]    15y = - 30

  [1]    y = - 2

// By now we know this much :

   x = -5y-4

   y = -2

// Use the  y  value to solve for  x

   x = -5(-2)-4 = 6

Solution :

{x,y} = {6,-2}

  Processing ends successfully  

Subscribe to our mailing list

Email Address

Terms and Topics

Linear Equations with Two Unknowns

Solving Linear Equations by Substitution

Related Links

Algebra - Linear Systems with Two Variables

Step-by-step explanation:

Molodets [167]2 years ago
7 0
They are correct!!!!
You might be interested in
What is the definition of similarity? *
a_sh-v [17]

Answer:

D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

4 0
2 years ago
Which shows an equation in point-slope form of the line shown?
kramer

Answer: Option (3)

Step-by-step explanation:

The slope of the given line is

\frac{-2-4}{-6-2}=\frac{-6}{-8}=\frac{3}{4}

Thus, the answer must be Option (3)

4 0
2 years ago
What does the value of the 3 in the number 2358916
geniusboy [140]
The answer is 300,000
8 0
2 years ago
Read 2 more answers
6n=0.12 what is the answer and i need it fast
uranmaximum [27]
6n=0.12
n=0.12:6
n=0.02
Answer: n=0.02

4 0
3 years ago
A line passes through the points (-7, 2) and (1, 6).A second line passes through the points (-3, -5) and (2, 5).Will these two l
BlackZzzverrR [31]

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

Explanation:

Step 1. The first line passes through the points:

(-7,2) and (1,6)

and the second line passes through the points:

(-3,-5) and (2,5)

Required: State if the lines intersect, and if so, find the solution.

Step 2. We need to find the slope of the lines.

Let m1 be the slope of the first line and m2 be the slope of the second line.

The formula to find a slope when given two points (x1,y1) and (x2,y2) is:

m=\frac{y_2-y_1}{x_2-x_1}

Using our two points for each line, their slopes are:

\begin{gathered} m_1=\frac{6-2}{1-(-7)} \\  \\ m_2=\frac{5-(-5)}{2-(-3)} \end{gathered}

The results are:

\begin{gathered} m_1=\frac{6-2}{1-(-7)}=\frac{4}{1+7}=\frac{4}{8}=\frac{1}{2} \\  \\  \end{gathered}m_2=\frac{5+5}{2+3}=\frac{10}{5}=2

The slopes are not equal, this means that the lines are NOT parallel, and they will intersect at some point.

Step 3. To find the intersection point (the solution), we need to find the equation for the two lines.

Using the slope-point equation:

y=m(x-x_1)+y_1

Where m is the slope, and (x1,y1) is a point on the line.

For the first line m=1/2, and (x1,y1) is (-7,2). The equation is:

y=\frac{1}{2}(x-(-7))+2

Solving the operations:

\begin{gathered} y=\frac{1}{2}(x+7)+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+7/2+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+5.5 \end{gathered}

Step 4. We do the same for the second line. The slope is 2. and the point (x1,y1) is (-3, -5). The equation is:

\begin{gathered} y=2(x-(-3))-5 \\ \downarrow\downarrow \\ y=2x+6-5 \\ \downarrow\downarrow \\ y=2x+1 \end{gathered}

Step 5. The two equations are:

\begin{gathered} y=\frac{1}{2}x+5.5 \\ y=2x+1 \end{gathered}

Now we need to solve for x and y.

Step 6. Equal the two equations to each other:

\frac{1}{2}x+5.5=2x+1

And solve for x:

\begin{gathered} \frac{1}{2}x+5.5=2x+1 \\ \downarrow\downarrow \\ 5.5-1=2x-\frac{1}{2}x \\ \downarrow\downarrow \\ 4.5=1.5x \\ \downarrow\downarrow \\ \frac{4.5}{1.5}=x \\ \downarrow\downarrow \\ \boxed{3=x} \end{gathered}

Step 7. Use the second equation:

y=2x+1

and substitute the value of x to find the value of y:

\begin{gathered} y=2(3)+1 \\ \downarrow\downarrow \\ y=6+1 \\ \downarrow\downarrow \\ \boxed{y=7} \end{gathered}

The solution is x=3 and y=7, in the form (x,y) the solution is (3,7).

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

6 0
1 year ago
Other questions:
  • Without solving, explain how you can tell whether the solution to 0.5x = 10 is less than 1 or greater than 1 ​
    5·1 answer
  • PLAZ HURI AND ANSOR WORT 50 POITNZS AND MAOR IF U GET BRIANLEUSTSTS!!!! (Last one for today lul)
    6·2 answers
  • Allison is twice as old a bob. The sum of their ages is 54. How old is Bob?
    13·1 answer
  • Alejandra has $800 in her checking account. She wants to spend part of this money on a computer. She wants to have exactly $150
    13·2 answers
  • Doug entered a canoe race
    8·1 answer
  • Can someone help its math :)
    14·1 answer
  • What is the exterior angle of #9 ?
    13·1 answer
  • Between which hours was the rate at which the rain fell greater than the rate at which the rain fell
    14·1 answer
  • Write each expression in standard notation.
    14·1 answer
  • What is the m12 in the matrix m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!