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
lyudmila [28]
2 years ago
8

X+y=7;x+2y=11Solve by substitution steps must.​

Mathematics
2 answers:
Tpy6a [65]2 years ago
8 0

Answer:

Step-by-step explanation:

x + y = 7    ------------(I)

     y = 7 - x  ------------(II)

x + 2y = 11 --------------(III)

Substitute y = 7 - x in equation (III)

x + 2 * (7 -x) = 11

x + 2*7 - 2*x = 11

x + 14 - 2x = 11

x - 2x + 14 = 11

- x + 14 = 11

Subtract 14 from both side

-x = 11 - 14

-x = -3

Multiply both sides by (-1)

x = 3

Substitute x=3 in equation (II)

y = 7 - 3

y = 4

coldgirl [10]2 years ago
3 0

Answer:

  • \boxed{ \tt \red{ x = 3}}
  • \boxed{ \tt \pink {y = 4}}

Step-by-step explanation:

Step: Solve x+y=7 for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7 for x in x+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

<em><u>y=4</u></em>

Step: Substitute 4 for y in x=−y+7:

x=−y+7

x=−4+7

<em><u>x=3</u></em>(Simplify both sides of the equation)

Answer:

\boxed{\sf x = 3 \: and \: y = 4}

You might be interested in
1. Solve the system of equations by graphing:
rjkz [21]

Answer:


Step-by-step explanation:

y = -3x - 3


m = -3_______


b = -3________  

y = 2x + 2


m = 2_______


b = _2_______


SOLVE NOW   :  -3x - 3  = 2x + 2


- 5x = 5

x = -1

subst in y : y = 2(-1)+2 = 0

the solution is : ( - 1 , 0 )

y = -3x- 3 an equation for the line 'red'    

y = 2x+2 an equation for the line 'bleus'


3 0
3 years ago
a country's population in 1991 was 48 million in 2002 it was 51 million estimate the population in 2008 using the expotential gr
Dvinal [7]
<span>one approach first write the formula substitute what you are given to find the rate you have the initial amount and the amount after a specified time do you see that it changed by (51 -48) millions in a period of (1997-1990) years using this rate with the new time (2017-1997) years and the new initial amount 51 million plug into the formula to find the new amount. Round your answer to the nearest million. the amount is calculated in millions. use the nearest whole number.</span>
8 0
3 years ago
What is the point-slope form for the line passing through (3, -6) and (-1, 2)
Leto [7]

Answer:

y-2 = -2(x+1)

Step-by-step explanation:

Find the slope(m) first using the two points  (3, -6) and (-1, 2).

Slope: -2

Next, plug in x₁ and y₁. I plugged in (-1, 2)

5 0
3 years ago
In Exercises 8-10, sketch the figure described.
Lunna [17]

The sketch answers to question 8, 9 and 10 is given in the image attached.

<h3>What is an intersecting lines?</h3>

A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.

Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.

Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting

Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.

Learn more about intersecting  lines from

brainly.com/question/2065148

#SPJ1

6 0
1 year ago
Describe the correlations from left to right ? Plz explain I can’t get this wrong &amp; I really need help !
Alexeev081 [22]
Nshsjwjebsudbejene 828
6 0
3 years ago
Other questions:
  • yvonne has a goal of buying a brand new home within a year. she’s afraid that she will be unable to save the money that she need
    6·2 answers
  • What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round your answer FOUR deci
    10·1 answer
  • Help me please,ASAP ​
    15·1 answer
  • The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm. What is the actual distance between the two to
    6·1 answer
  • You are constructing triangle ABC given the line segments AB and AC and ∠A. The first thing you do is copy segment AC. Next, you
    9·1 answer
  • X2 - __________x + 144
    15·1 answer
  • How to solve for -3x squared + 2y squared + 5xy - 2y + 5x squared - 3y squared when x = 0.5 and y = -1/10??
    15·1 answer
  • Dallas was told to run around the perimeter of the high
    5·1 answer
  • Solve for y. answer to the nearest tenth &amp; solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!
    8·1 answer
  • Simplify the following completely and show your work: -5x2(2x2 - 4x - 12)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!