All categories

4 years ago

Is (2, 10) a solution to this system of equations? y = 5x. 2x + y = 14 Yes or No?

Mathematics

1 answer:

BabaBlast [244]4 years ago

8 0

Answer:

A) y = 5x

B) 2x + y = 14

The easiest way is to substitute (2, 10) into A) and B)

A) 10 = 5 * 2

B) 2 * 2 + 10 = 14

And so (2, 10) IS the solution to those equations.

Step-by-step explanation:

You might be interested in

Find the first five terms of the sequence in which a1 = –10 and an = 4an – 1 + 7, if n ≥ 2.

Sholpan [36]

The first five terms of the sequence are -10, -33, -125, -493, -1965

Explanation:

The given expression is $a_n=4a_{n-1}+7$

And $a_1=-10$ is the first term of the sequence.

We need to determine the first five terms of the sequence.

Second term:

Substituting n = 2 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_2=4a_{2-1}+7$

$a_2=4a_1+7$

$a_2=4(-10)+7$

$a_2=-40+7=-33$

Thus, the second term is -33

Third term:

Substituting n = 3 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_3=4a_2+7$

$a_3=4(-33)+7$

$a_3=132+7=-125$

Thus, the third term is -125

Fourth term:

Substituting n = 4 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_4=4a_3+7$

$a_4=4(-125)+7$

$a_4=-500+7=-493$

Thus, the fourth term is -493

Fifth term:

Substituting n = 5 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_5=4a_4+7$

$a_5=4(-493)+7$

$a_5=-1972+7=-1965$

Thus, the fifth term is -1965

Hence, the first five terms of the sequence are -10, -33, -125, -493, -1965

8 0

4 years ago

Which relation below does NOT represent a function?

Allisa [31]

I think it is the bottom left

7 0

3 years ago

How would the expression x^3-3sqrt(3) be rewritten using difference of cubes?

Semenov [28]

The difference of two cubes is factored by
x^3-y^3=(x-y)(x^2+xy+y^2)

In this case it would be

C)

3 0

3 years ago

Read 2 more answers

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.Find the minimum and maximum possible areas of

jeka57 [31]

Answer:

Minimum possible area = 6.75 km^2

Maximum possible area = 13.75 km^2

Step-by-step explanation:

This question relates to significant figures so assuming that each of the given values is rounded off to the nearest kilometer.

So we can find the minimum and maximum possible areas of the rectangle.

Minimum possible area of rectangle = 1.5 × 4.5 = 6.75 square kilometers

Maximum possible area of rectangle = 2.5 × 5.5 = 13.75 square kilometers

7 0

3 years ago

What is the slope of the line?

weqwewe [10]

x=m1x2+m2x1/m1+m2

y=m1y2+m2y1/m1+m2

8 0

3 years ago

Read 2 more answers

Is (2, 10) a solution to this system of equations? y = 5x. 2x + y = 14 Yes or No?​

Is (2, 10) a solution to this system of equations? y = 5x. 2x + y = 14 Yes or No?