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dlinn [17]
2 years ago
5

Solve the system of linear equations by substitution.

Mathematics
2 answers:
Vadim26 [7]2 years ago
5 0
Answer:
x= 29/11 or y= 25/11
Step-by-step explanation:
2x - y= 3 ...........equation 1
x + 5y= 14 ............equation 2
Make x the subject of the formula in equation 2
x= 14 - 5y ..............equation 3
Substitute x=14 - 5y in equation 1
2(14- 5y) - y=3
28 - 10y - y=3
Collect like terms
-10y - y=3 - 28
-11y= -25
divide both sides by coefficient of y
-11y/-11 = -25/-11
y= 25/11
Substitute y= 25/11 in equation 3
x=14 - 5(25/11)
x= 14 - 125/11
x= 29/11
SVEN [57.7K]2 years ago
3 0

Answer:

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

x= 29/11

Step-by-step explanation:

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540 degrees

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Ilia_Sergeevich [38]

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2 years ago
Please help if you can thanks ^^
Neko [114]

Given:

AD is an angle bisector in triangle ABC. m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ.

To find:

The value of m\angle ADC.

Solution:

AD is an angle bisector in triangle ABC.

m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}

m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}

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According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

m\angle CAD+m\angle ADC+m\angle ACB=180^\circ

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m\angle ADC=180^\circ-94^\circ

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3 0
3 years ago
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Step-by-step explanation:

5 0
2 years ago
Shannon feeds her cat twice a day. In the morning, she feeds her cat one can of cat food. In the evening, she feeds her cat one
saul85 [17]

Each can of cat food holds <u>4 ounces</u>

Step-by-step explanation:

We shall assign the ounces of one can as; x

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This is also equal to 10 ounces

x + ³/2 x = 10

⁵/2 x = 10

x = 10 * ²/5

x = 4

= 4 ounces

8 0
2 years ago
Read 2 more answers
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