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
Aleksandr-060686 [28]
3 years ago
10

What is the result of adding the system of equations? 2x+y=4 3x-y=6

Mathematics
2 answers:
tatyana61 [14]3 years ago
4 0

Answer:

2x + y = 4

3x - y = 6

I + II

2x + y + 3x - y = 4 + 6

5x = 10

x = 2

2*2 + y = 4

y = 0

kipiarov [429]3 years ago
4 0

Answer:

5x = 10

Yields

x=2 y=0

Step-by-step explanation:

2x+y=4 3x-y=6

We want to add these equations

2x+y=4

3x-y=6

--------------

5x = 10

If we divide by 5 on each side

5x/5 = 10/5

x =2

Now we can find y

2x+y =4

2(2) +y = 4

4+y =4

Subtract 4  from each side

4-4 +y = 4-4

y =0

You might be interested in
What is the relationship between 5.34×1055.34×105 and 5.34×10−25.34×10−2 ? Select from the drop-down menus to correctly complete
Anton [14]
The relationship between 5.34×105 and 5.34×10−2 would be that the former number is 10000000 times larger than the latter value. We can obtain this by dividing 5.34×105 and 5.34×10−2 where the quotient would be 10000000. Hope this answers the question. Have a nice day.
5 0
3 years ago
Read 2 more answers
the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
RideAnS [48]
Well, first off, let's find what is the slope of BC

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
%   (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies  -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}

now, we know the slope "m" of AB is -2 then, thus

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
%   (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a
6 0
3 years ago
Simplify w1/2 and w1/3
mars1129 [50]

Answer:

They are on their simplified form.

Step-by-step explanation:

Since these numbers are prime numbers we can't simplify them. But we can change them to decimal.

1/2=0.5

1/3=0.3 (in which 3 repeats itself)

Hope this helps ;) ❤❤❤

4 0
3 years ago
a carpenter estimates that it will take one person 54 hours to complete a job he plans to have three people work on the job for
strojnjashka [21]
 2 days = 54/2 = 27 hours a day
Your welcome
5 0
3 years ago
Please helppp<br> a. what's the domain of c
snow_tiger [21]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon?
    5·2 answers
  • El cuadruple de un número aumentado en 2 es menor igual a 50
    10·1 answer
  • A local theater can seat 2,254 people. the seats arranged into 98 rows. Each row has the same number of seats. How many seats ar
    11·1 answer
  • Lara has a triangle that has side lengths of 26, 34, and 58. She wants to reduce the triangle by one half, so she divides each s
    10·1 answer
  • Solve for x: -6 &lt; x-1 &lt;9<br> 05 0-5 0-5 &gt;x&gt; 10<br> O 5 &gt;x&gt;-10
    9·1 answer
  • Find the median, first quartile, third quartile, and interquartile range of the data.
    15·1 answer
  • Select all the equations where d=4 is a solution
    8·2 answers
  • Ellie’s eats 1/4 cups of raisins everyday. If she buys a package that has 6 cups of raisins,how many days of raisins is that ?
    10·2 answers
  • Im losing to many brain cells please help!
    13·1 answer
  • Please help me with this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!