All categories

3 years ago

A system of equations and its solution are given below.

Mathematics

2 answers:

Alexus [3.1K]3 years ago

6 0

Answer:

C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

System A

x + 6y = 5

3x - 7y = -35

Solution: (-7, 2)

System B

x + 6y = 5

-25y = -50

First equation is same in both system A and B

To get system B, the second equation in system A was replaced by sum of that equation and first equation multiplied by -3

x + 6y = 5 (Multiply by -3)

-3x -18y =-15

now do the sum of 3x - 7y = -35 and -3x -18y =-15

3x - 7y = -35

-3x -18y =-15

-----------------------

-25 y = -50

The solution to system B will be the same as the solution to system A.

Fittoniya [83]3 years ago

4 0

Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50

System B
x+6y=5
-25y=-50 </span>

You might be interested in

Correct answer gets brainliest or who ever answered first

timurjin [86]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

OleMash [197]

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

4 0

3 years ago

Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon

Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min= $\frac{1}{60}$ hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

$\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min$ ...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

$\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min$ ...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

7 0

3 years ago

The cost of 9 cupcakes is $12.50. What is the equation that represents The cost y of x amount of cupcakes What is the cause of 2

zubka84 [21]

Answer:

$33.33

Step-by-step explanation:

9--->12.50

24---->y

y=12.50x24/9

y=33.33

6 0

3 years ago

The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. W

MaRussiya [10]

Ok so to start, your unknown numbers will ne represented as x. The equation looks like this: x+x+1+x+2=228. You have your unknown number, the number plus one, and the numner plus two. To find the answer you divide 228 by 3. Those numbers are all equal though,so you play around with them until you get 75+75+1+75+2=228

7 0

4 years ago