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
Andrew [12]
3 years ago
14

6. Solve using any method. x+6y=7 5x + 8y = 13

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0
When you substitute you find your answer
Norma-Jean [14]3 years ago
4 0

Answer:

<h2>x = 1, y = 1 → (1, 1)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{Multiply both sides by (-5)}\\5x+8y=13\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-5x-30y=-35\\5x+8y=13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-22y=-22\qquad\text{divide both sides by (-22)}\\.\qquad\boxed{y=1}\\\\\text{Put it to the first equation}\\\\x+6(1)=7\\x+6=7\qquad\text{subtract 6 from both sides}\\\boxed{x=1}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{subtract}\ 6y\ \text{from both sides}\\5x+8y=13\end{array}\right\\\\\left\{\begin{array}{ccc}x=7-6y&(1)\\5x+8y=13&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\5(7-6y)+8y=13\qquad\text{use the distributive property}\\(5)(7)+(5)(-6y)+8y=13\\35-30y+8y=13\qquad\text{subtract 35 from both sides}\\-30y+8y=13-35\qquad\text{combine like terms}\\-22y=-22\qquad\text{divide both sides by (-22)}\\\boxed{y=1}

\text{Put it to (1):}\\\\x=7-6(1)\\x=7-6\\\boxed{x=1}

You might be interested in
Help with #17 please
ohaa [14]
2 evens is an positive
1 odd,1 even is a odd
2 odd is an ofd
8 0
3 years ago
If Sophie gets $26.00 and Jack gets four times the amount as Sophie. How much do Jack get?​
alina1380 [7]

Answer:

he gets 104$

Step-by-step explanation:

104 dollars

26x4=104

5 0
3 years ago
Read 2 more answers
Can a vector have a component greater than the vector's magnitude ?<br>​
Mars2501 [29]
Answer: No, it can never be greater. At most it can be equal though.

5 0
2 years ago
Which statements are true for the given quadrilaterals? Choose all answers that are correct. A. All trapezoids are quadrilateral
svetlana [45]
Trapezoids always have 4 sides, so this is true. All rhombuses have parallel sides, so B is true also. A trapezoid has two sides that are not parallel, so C is not true. (remember, you only have to find one instance where your statement is false for it to be false) And for D, all rhombuses are kite-shaped so D is not true. A and B are true. Hope this helps. :) 
8 0
3 years ago
Read 2 more answers
Each face of a cube has an area of 16 inches squared what is the volume of the cube
lakkis [162]

Answer:

64 in³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( where s is the length of the side )

Given

area = 16, then

s² = 16 ( take the square root of both sides )

s = \sqrt{16} = 4 , thus

V = 4³ = 4 × 4 × 4 = 16 × 4 = 64 in³

5 0
3 years ago
Other questions:
  • What does x equal if the circumference of a circle equals 113.04
    7·1 answer
  • The flash of lightning travels at the speed of light, which is about 186,000 miles per second. The sound of lightning (thunder)
    12·1 answer
  • What is the sum of the expression (8- 4 i) + (-2+7i)?
    6·1 answer
  • Solve 4(2x - 1) - 3 = 9(x - 4)<br><br> answers <br><br> -29<br><br> 32<br><br> 13<br><br> 29
    7·1 answer
  • Which is not a statistical question?
    7·2 answers
  • Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The ac
    5·1 answer
  • The distance from Antville to Beetleton is 60 km.
    12·1 answer
  • PLEASE HELP PROBLEM IN PHOTO!
    6·2 answers
  • you have 26 books.you return some books.then you take out 15 more books.now you have 27 books.how many books did you return? sol
    15·1 answer
  • Find the equivalent cash price of a $1500 monthly payment over two years assuming 18% interest compounded monthly.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!