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
nikklg [1K]
3 years ago
13

Is (3,4) a solution to the system of equations. X + y = 7 x - 2y = - 5

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer: Yes, the point (3,4) is a solution to the system.

===================================================

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

You might be interested in
Solve the inequality -2c – 5 > -7 and graph the solution.
vichka [17]
The answer is B .greater than 6
7 0
2 years ago
Find a counterexample: Two sides of a
Shkiper50 [21]

Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3

When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have

7+7 = 14 which is larger than 3

7+3 = 10 which is larger than 7

By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".

6 0
3 years ago
X^2-x-20 how do I write that in factored form
Rufina [12.5K]

Answer:

(x+4)(x-5)

Step-by-step explanation:

You need to find two numbers that multiply to be -20 but add up to be -1.

4 0
3 years ago
Read 2 more answers
Which is a better buy? 5000 sqft of lawn food for $11.99 or 12500 sqft of lawn food for $19.99? Show proof.
xz_007 [3.2K]
12500 cause 5000 goes into 12500 twice and it would be 24$ for 10000 sqft and then another 6 so 30$ cause 2500 is half of 5000
3 0
3 years ago
Write an expression showing 5 less than the number K
BigorU [14]

Answer:

k-5

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Does anyone know the right set up for this equation?
    15·2 answers
  • Evaluate 3 1/6 + 8 2/9 - 1 1/2
    12·1 answer
  • How many 1/4 ft pieces can you cut from a string that is 15 feet long
    6·1 answer
  • Use the list method to write "The odd integers between 2 and 15".
    9·1 answer
  • 20 pts to whoever helps!!
    7·1 answer
  • At a benefit concert, nine bands have volunteered to perform but there is only enough time for seven of the bands to play. How m
    9·1 answer
  • What is the solution set of the compound inequality x+1<-2x+11<3x+5
    10·1 answer
  • HELP PLEASE!!! What is the volume of this container?
    15·1 answer
  • Pl help it’s for a grade
    11·1 answer
  • Find the product. 87.8 x 2.8 (
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!