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Semenov [28]
3 years ago
9

Solve using substitutionx=-6x-y=-8​

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

(-6,2)

Step-by-step explanation:

x =  - 6 \\ x - y =  - 8

<u>Substitution</u>

Substitute x = -6 from the first equation in the second equation.

- 6 - y =  - 8 \\  - 6  + 8 = y \\ 2 = y

Normally, we have to substitute either x-term or y-term in one of the equation to get another term. For this situation, we already know the value of x so It is not necessary to substitute the y-value.

<u>Answer</u><u> </u><u>Check</u>

We have to check the answer to make sure that we have got the right answer.

We can check the answer by substituting both x-value and y-value in the equation.

x - y =  - 8

Substitute x = -6 and y = 2 in the equation.

- 6 -  2 =  - 8 \\  - 8 =  - 8

The equation is true. Therefore, our answer is (-6,2)

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Given: mTP= 70°,m∠EPT = 54° Find: Angles of △SPT
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Answer:

The Angles of △SPT are

m\angle STP=35\°  

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Step-by-step explanation:

step 1

Find the measure of angle PET

we know that

The inscribed angle is half that of the arc it comprises.

m\angle PET=\frac{1}{2}(arc\ PT)

substitute the given values

m\angle PET=\frac{1}{2}(70\°)

m\angle PET=35\°

step 2

Find the measure of angle PTE

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle PET

m\angle PET+m\angle EPT+m\angle PTE=180\°

substitute the given values

35\°+54\°+m\angle PTE=180\°

m\angle PTE=180\°-89\°=91\°

step 3

Find the measure of angle STP  

we know that

The inscribed angle is half that of the arc it comprises.

m\angle STP=\frac{1}{2}(arc\ TP)

substitute the given values

m\angle STP=\frac{1}{2}(70\°)=35\°

step 4

Find the measure of angle SPT

we know that

m\angle SPT+m\angle EPT=180\° ----> by supplementary angles

m\angle SPT+54\°=180\°

m\angle SPT=180\°-54\°=126\°

step 5

Find the measure of angle PST

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle SPT

m\angle STP+m\angle SPT+m\angle PST=180\°

substitute the given values

35\°+126\°+m\angle PST=180\°

m\angle PST=180\°-161\°=19\°

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