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
algol [13]
2 years ago
10

The sum of two numbers is 99 and the difference is 13. Use a system of two equations and two variables to solve and find the two

Mathematics
2 answers:
andriy [413]2 years ago
7 0

Answer:

56 and 43

Step-by-step explanation:

(x+13)+x = 99

2x+13 = 99

2x = 99-13

2x = 86

x = 86/2

x = 43

Smaller number = 43

Larger number is 56

Check

56-43 = 13

56+43 = 99

garik1379 [7]2 years ago
3 0

Answer:

The two numbers are 43 and 56.

Step-by-step explanation:

Represent the numbers by x and y.

Then, according to the given information,

x + y = 99 and x - y = 13

Rewrite these two equations in a column:

x + y = 99

x -  y = 13

Solve this system of linear equations through elimination by addition/subtraction:

x + y = 99

x -  y = 13

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

2x = 112, so that x = 56

Next, find y by substituting 56 for x in either of the two equations:

56 - y = 13

This reduces to 43 - y = 0, or y = 43

The two numbers are 43 and 56.

Check:  Is the difference between 56 and 43 equal to 13?  YES

Is the sum of the numbers 56 and 43 equal to 99?  YES

You might be interested in
A business assistant must leave more than $60 in the supply account. There is $650 in the account. The assistant needs to order
liubo4ka [24]

Answer:

25 boxes because if you divide 590 from 23.25 it equals 25. I got 590 by subtracting 650 and 60 to make sure there is still that remaining 60 in the supply account.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the probability that he picks up a blue pen and recognizes it as blue?
Setler79 [48]
We have no factors to go by
4 0
3 years ago
If f(x) varies directly with x, and f(x) = 12 when x = 8, write the direct linear variation equation.
Feliz [49]
<span>f(x) varies directly with x.
f(x) = kx (k is the constant of proportionality)
if x = 8,
12 = 8 k
k = 12/8
k = 3/2
So the equation would be: 
f(x) = (3/2)x
</span><span>
</span>
4 0
3 years ago
Simplify: (13/4)x - 8y- (5/4) x + 7y + 5
Natali5045456 [20]

\dfrac{13}4 x -8y-\dfrac54 x +7y +5\\ \\=\dfrac{13x-5x}{4} -y+5\\\\=\dfrac{8x}{4}-y+5\\\\=2x-y+5

4 0
2 years ago
Help! I don’t understand
Luden [163]

Answer:

y=1/2x+2

Step-by-step explanation:

The equation of a line is y=mx+b where m is the slope and b is the y intercept.

First we find the slope. We can start by picking any point. Let's say (0,2). From this to get to the next point we have to rise 1 and go to the right two. This gives us a slope of 1/2 (slope=rise/run). Now that we have the slope, we can find the y-intercept. This is where the line intercepts the y axis. Therefore x would be 0. The point (0,2) is where the line intercepts the y axis, so the y intercept is 2.

Now that we have the slope and the intercept we can right the equation.

y=1/2x+2

7 0
2 years ago
Other questions:
  • Which equation is represented by the graph shown below?
    11·1 answer
  • A cubical container measures 9 ft on each edge. What does it cost to fill the container at $2.58 per cubic ft?​
    7·1 answer
  • Part of nicole pumpkin muffin recipe is shown. how many cups of flour are needed to make 5 dozen muffins
    15·2 answers
  • 15 La edad de Juan, j, es 10 años más
    14·1 answer
  • Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)
    14·2 answers
  • How do I round 0.33375
    11·1 answer
  • What is 26^4 +x)=65??
    10·1 answer
  • What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
    6·1 answer
  • I need help badly someone help me please no links or I will report you
    13·1 answer
  • Simplify.<br><br> (x2 - y2 - 3xy) + (7xy + 3x2)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!