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dolphi86 [110]
3 years ago
14

What is the first step to solve the following system of equations using substitution?

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

x = 4, y = 5

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

x - y = -1

2x - y = 3

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

x-y=-1

Add y to both sides

x-y+y=-1+y

x=-1+y

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

\mathrm{Subsititute\:}x=-1+y to solve for y

\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}

-2+y=3

y=5

For x = -1 + y

substitute y = 5

x=-1+5

x=4

Thus, the solution to the system of equations be:

x = 4, y = 5

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**10 POINTS PLEASE HELP!!**
Sliva [168]

Answer:

The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.

Step-by-step explanation:

Let L represents the Length of the cube before it's dilated.

Volume, V1 = Length * Length * Length

Volume, V1 = L * L * L

Volume, V1 = L³

When the cube is dilated by a factor of 4.

The new Length becomes 4L.

The new volume is calculated as thus.

New Volume, V2 = 4L * 4L * 4L

New Volume, V2 = 64L³

Dividing the new volume by the old volume gives the increment factor.

Factor = New Volume ÷ Old Volume

Factor = V2/V1

Factor = 64L³/L³

Factor = 64.

Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.

Filling the gap of the given sentence;

"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"

8 0
3 years ago
Find the value of x. Then find the angle measures of the polygon.
Bess [88]

Question 11

x+x+1/2x+1/2x=360

x+x+2/2x+=360

x+x+x=360

3x=360

x=120

Then substitute 120 in the place of x

x1=120

x2=120

1/2(120)=60

1/2(120)=60

To check your answer you can add 60+60+120+120 the should be equal to 360

Question 12

x+x+(x-45)+(x-45)+(x-45)=540

x+x+x-45+x-45+x-45=540

5x-135=540

5x=540+135

5x=675

x=675/5

x=135

Then substitute 135 in the place of x

x1=135

x2=135

135-45=90

135-45=90

135-45=90

To check your answer you can add 135+135+90+90-90 the should be equal to 540

Hope it helps

Please give brainliest

4 0
2 years ago
What is the value of x?​
Nataly_w [17]

Answer:

139

Step-by-step explanation:

a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139

5 0
3 years ago
Read 2 more answers
PLSSSS HELPP ASSPPPP!!!!
Rina8888 [55]

Answer:

33 gallons

Step-by-step explanation:

44/20 = 2.2

$2.2 per gallon

2.2x15

4 0
4 years ago
Read 2 more answers
20,18,13,17,18 find the mean,median and mode​
Degger [83]
<h3>Answer:</h3>

Mean: 17.2

Median: 18

Mode: 18

<h3>Solution:</h3>

Mean: The sum of all observation divided by several observation

  • 20+18+13+17+18=86
  • 86÷5=
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Median:it is the middlemost observation of data arraged in increasing or decreasing order of values

  • (13,17,18,18,20)
  • (17,18,18)
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Mode:it is the value that occurs frequently in a set of data

  • (13 , 17 , 18 , 18 , 20)

Hope it helps

6 0
2 years ago
Read 2 more answers
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