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
Darina [25.2K]
3 years ago
14

The sum of two numbers is 12 and their difference is 20. What is the smaller number?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

16 and -4

Step-by-step explanation:

Let the 2 numbers be x and y with x > y

x+y=12

x-y=20

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve

(x+x)+(-y+y)=(12+20)

2x=32

x=16

16+y=12

y=-4

16+-4=12

12=12

16--4=20

20=20

You might be interested in
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Art [367]

Answer:

2y + 3 = 6

Step-by-step explanation:

2y + 3 = 6 <em>Subtract</em><em> </em><em>3</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em>

2y = 3 <em>Divide</em><em> </em><em>2</em><em> </em><em>from both</em><em> </em><em>sides</em>

y = 3/2

8 0
2 years ago
Write an equation of the line that passes through the given point and is parallel to the given line.
9966 [12]

Answer : <em>Equation of line is</em> y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = \frac{2}{3}x+1 is m= \frac{2}{3}

We know that line : y = \frac{2}{3}x+1 is parallel to equation of target line.

therefore, slope of target line will be \frac{2}{3}.

we write equation of target line as y= \frac{2}{3}x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= \frac{2}{3}x+c

-2= \frac{2}{3} \times -5+ c

-5= \frac{-10}{3}+c

c= \frac{-5}{3}

thus, Equation of line is y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

7 0
3 years ago
Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of bo
larisa86 [58]
Kelsey must spend less than or equal to $65.
The expression 5.50b+7.5 is correct
Kelsey able to purchase 10 books.
On the end Kelsey can spend $2.50 to purchase small present (calendar or book for notes)
6 0
3 years ago
Read 2 more answers
It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a
maksim [4K]
What is being asked here? Are they asking for the passing grade or the total with all the other 90 points added? I think it is A, 90%
7 0
3 years ago
Read 2 more answers
T-7=19 what is the answer and how do you do it
jeka57 [31]
T=26
you just add 7 to the other side with 19 which gives you the answer
7 0
3 years ago
Other questions:
  • A guy wire makes a 67° angle with the ground. Walking out 32 feet further from the tower, the angle of elevation to the top of t
    5·1 answer
  • Annalisa, Keiko, and Stefan want to compare their heights. Annalisa is 64 inches tall. Stefan tells her, "I'm about 7.5 centimet
    15·2 answers
  • The expression 15.85(1+x) gives the total cost of a toy, where x is the sales tax written in decimal form. What does 1 + x repre
    11·2 answers
  • The zeros of a quadratic function
    15·1 answer
  • By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20​
    10·2 answers
  • - 4x +35&gt; 2 What is the answer?
    11·1 answer
  • You rented a bike to ride on the beach. The one-time fee was $12 and you were charged S5 per hour. It cost you a total of $27 to
    12·2 answers
  • Solve the following equation (x-4)^2=7
    5·2 answers
  • Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes
    12·2 answers
  • What is the greatest common factor of<br> 15x^7y^5+5x^5y^4-20x^6y
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!