All categories

3 years ago

Solving the following system using the elimination or the substitution method.

Mathematics

1 answer:

Lina20 [59]3 years ago

5 0

Answer and Step-by-step explanation:

For these system of equations, it would be easier to use the substitution method, as we are have one equation that is being equaled to a variable.

Plug the second equation into the value of b for the first equation.

5a + 3(-2a + 3) = 11

Distribute the 3.

5a - 6a + 3 = 11

Simplify.

-a + 3 = 11

Subtract 3 from both sides of the equation.

-a = 8

Divide both sides by -1.

a = -8

Now, we can plug this value into the second equation.

-2(-8) + 3 = b

Multiply -2 and -8 together.

16 + 3 = b

Add together 16 and 3.

19 = b

a = -8

b = 19

#teamtrees #PAW (Plant And Water)

You might be interested in

3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third

den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

$2x + 3(x + 2) = 2(x + 4) + 55$

$= > 2x + 3x + 6 = 2x + 8 + 55$

Eliminating 2x from both the sides,

$= > 3x + 6 = 63$

$= > 3x = 63 - 6 = 57$

$= > x = \frac{57}{3} = 19$

So, the consecutive odd integers are = 19 , 21 & 23.

3 0

2 years ago

You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c

Virty [35]

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

7 0

3 years ago

Read 2 more answers

Please help me answer this with the correct answer :)

Andru [333]

Answer:

Step-by-step explanation:

Amber get $150 per week no matter wut and +$10 per tree sold so if she sells 5 trees she gets a total of $200

Jorge gets $25 per tree sold and an extra $75at the end of the week so 25(5)=125+75=200 so they both end up with $200 at the end of the week

4 0

3 years ago

A bag contains 5 grey marbles, 7 striped marbles, and 3 black marbles. If one marble is randomly chose, what is the probability

Anvisha [2.4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Need help asap

harina [27]

Answer:

2 hours, 9 minutes (and 19 seconds if u wanna be exact)

Step-by-step explanation:

4 0

3 years ago