All categories

3 years ago

A variable needs to be eliminated to solve the system of equations below. Choose the

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

Answer:

x=-2

y= 8

Step-by-step explanation:

Given data

10x – 2y = -36-----------1

7x – 2y = -30--------------2

-Subtract to eliminate y

3x-0= -6

3x= -6

x= -6/3

x= -2

Put x= -2 in

7(-2)– 2y = -30

-14-2y=-30

-14+30=2y

16=2y

y= 16/2

y= 8

You might be interested in

Which expressions are equivalent to 12x - 6?

iren2701 [21]

<h3>Answer</h3>

B and E

<h3>Explanation</h3>

A) It's wrong because

$- 6 \times (2x - 1) = - 12x + 6$

B) It's right because

$6 \times (2x - 1) = 12x - 6$

C) It's wrong because

$6x \times (2 - 1) = 6x \times 1 = 6x$

D) It's wrong because

$- 6x \times (2x - 1) = - 12 {x}^{2} + 6$

E) It's right because

$- 6 \times ( - 2x + 1) = 12x - 6$

F) It's wrong because

$6 \times ( - 2x + 1) = - 12x + 6$

8 0

3 years ago

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0

3 years ago

Solve 2y-3 = 4y + 6.<br> y=?

valentinak56 [21]

y= 3/8 OR 0.375

Step-by-step explanation:

yes

5 0

3 years ago

Read 2 more answers

I need help on number 2 through 9

Phantasy [73]

3: terms/ 12, 8r, -3, s, -5, 15t coefficients/ 8r, 1s, 15t

5 0

3 years ago

It take 33.5 Second to jail at practice it takes 28.2 seconds to run Edjil at practice how much time does it take him to complet

Schach [20]

61.7 seconds?? Please make it more clear, and there may be some missing information

3 0

3 years ago