All categories

3 years ago

Determine whether the point (1, 5) is a solution to the system of equations. Explain your reasoning in complete sentences.

Mathematics

2 answers:

lawyer [7]3 years ago

6 0

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. since (1,5) is not an intersection of the two lines then it is not a solution to the systems of equation

Harman [31]3 years ago

3 0

Answer:

(1,5) is not a solution to the system of equations

Step-by-step explanation:

To find the point (1, 5) is a solution to the system of equations.

We look at the intersection of both graphs given

Both graphs intersects at (0,2)

Intersection of two graphs is the solution of system of equations

Two graphs intersects at (0,2). so (0,2) is the solution of system of equations

(1,5) is not a solution to the system of equations

You might be interested in

Find the value of X such that the data set has the given mean. 99, 123, 105, 114, 107, X; mean 108

Ulleksa [173]

Answer:

The value of x is 100

Step-by-step explanation:

* Lets revise how to find the missing number of the given Mean

- Add up the numbers you know.

- Set up your equation by adding the sum of the numbers plus “x”

- Divide the sum by the number of numbers given.

- Equate them by the value of the mean

- Solving for "x"

- Check the Answer

* Now lets solve the problem

- The numbers are 99 , 123 , 105 , 114 , 107

- The sum of the numbers = 99 + 123 + 105 + 114 + 107 = 548

- The equation is ⇒ (548 + x)/6 = 108 ⇒ × 6 both sides

∴ 548 + x = 648 ⇒ subtract 548 from both sides

∴ x = 100

* Now lets check the answer

- The mean = (99 + 123 + 105 + 114 + 107 + 100)/6 = 648/6 = 108

∴ The answer x = 100 is correct

* The value of x is 100

8 0

3 years ago

Read 2 more answers

Find the measure of ∠BAC. Create another angle with the same measure. Measure the new angle to verify that it has the same angle

Strike441 [17]

Answer:

The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC

.Step-by-step explanation:

4 0

3 years ago

Prove each statement that is true and ﬁnd a counterexample for each statement that is false. Assume all sets are subsets of a un

tekilochka [14]

Answer with Step-by-step explanation:

We are given that A, B and C are subsets of universal set U.

We have to prove that

$A\cap (B-C)=(A\cap B)-(A\cap C)$

Proof:

Let x $\in A\cap (B-C)$

Then $x\in A$ and $x\in(B-C)$

When $x\in ( B-C)$ then $x\in B$ but $x\notin C$

Therefore, $x\in( A\cap B)$ but $x\notin (A\cap C)$

Hence, it is true.

Conversely , Let $x\in(A\cap B)$ but $x\notin(A\cap C)$

Then $x\in A$ and $x\in B$

When $x\notin ( A\cap C)$ then $x\notin C$

Therefor, $x\in A\cap (B-C)$

Hence, the statement is true.

5 0

3 years ago

If C=5/9(F-32), what is F when C=20?

siniylev [52]

20 = 5 / 9(F-32)
f = 68

8 0

3 years ago

Read 2 more answers

What is the solution of the proportion? 14/12 = D/48 a. 56 b. 672 c. 168 d. 576

Verdich [7]

So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!

8 0

3 years ago

Read 2 more answers