All categories

3 years ago

The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

We conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

Step-by-step explanation:

Given

The point (-2, 3)

Checking option A

Given the equation

y = 3x-2

substitute x = -2 and y = 3

3 = 3(-2) - 2

3 = -6 - 2

3 = -8

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y = 3x-2.

Checking option B

Given the equation

y = -x+1

substitute x = -2 and y = 3

3 = -(-2)+1

3 = 2+1

3 = 3

TRUE!

L.H.S = R.H.S

Thus,

The point (-2, 3) satisfies the equation y = -x+1.

Checking option C

Given the equation

y=x-1

substitute x = -2 and y = 3

3 = -2-1

3 = -3

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=x-1.

Checking option D

Given the equation

y=2x+3

substitute x = -2 and y = 3

3 = 2(-2)+3

3 = -4+3

3 = -1

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=2x+3.

Conclusion:

Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

You might be interested in

Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? A. either SAS or AAS B. SAS only C. AA

Harman [31]

Sas only because the triangles and usually congruent to me or in my opponion

5 0

3 years ago

A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5

boyakko [2]

Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

$T = \frac{15}{f}$

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

$Wavelength = \frac{L}{10}$

λ(air) $= \frac{L}{10}$

λ(glass) = λ(air) / n

= $\frac{\frac{L}{10}}{1.5}$

= $\frac{L}{10} * \frac{1}{1.5}$

= $\frac{L}{15}$

V(glass) = fλ(glass)

$= f * \frac{L}{15}$

$T = \frac{L}{V_{glass}} = \frac{15}{f}$

7 0

3 years ago

One number is 6 more than twice another. If their sum is 51, find the numbers.

joja [24]

Answer:

y=2x+6 ; x+y=51

Step-by-step explanation:

assuming x is one number and y is the other -

one number (y) is 6 more (+6) than twice another (2x) -

using that knowledge we form an equation -

y=2x+6

the sum (x+y) is 51

using this knowledge we can make the equation -

x+y=51

now you have -

y=2x+6 or 2x-y=-6

x+y=51

using system of equations -

you add the equations -

3x=45

x=15

y=51-x => y=36

hope this helps!!

7 0

3 years ago

Which rational number is greater? — 0.76 or 0.76? And why?

sertanlavr [38]

You have written exactly the same number twice, so neither of them is bigger.

5 0

3 years ago

When solving - 1/8 (x + 35) = -7 what is the correct sequence of operations? need help asap :c

Amanda [17]

Answer:

get stuff out of parentheses solve obvious problems, solve x

8 0

3 years ago

Read 2 more answers