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motikmotik
2 years ago
13

Does anyone know how to Solve the system of equations. ​ ​ −3x+y=2 7x−8y=1

Mathematics
1 answer:
Fantom [35]2 years ago
6 0
You could use the substitution method. in this you’ll solve one equation for one variable. we’ll do the first one for y.
add 3x to both sides, so y = 3x + 2
then add that into the other equation for y.
7x - 8(3x +2) = 1
7x- 24x - 16 = 1
-17x - 16 = 1
-17x = 17
x= -1
now that you know what x is, you can find out y with the equation we made earlier. y = 3x+2
y = 3(-1) + 2
y = -3 + 2
y = -1
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Answer:

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<u>Equations</u>

We are given some conditions applying to the internal angles on a triangle ABC.

The measure of angle A is 13 less than the measure of angle C.

The measure of angle B is 11 less than 4 times the measure of angle C

Let x = measure of angle C

The first conditions states:

m\angle A = x-13

The second conditions states:

m\angle B = 4x-11

The sum of all angles must be 180°, thus:

x - 13 + 4x - 11 + x = 180

Simplifying:

6x -24 = 180

Adding 24:

6x = 204

Dividing by 6:

x = 204/6

x = 34

m\angle C = x = 34^\circ

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The measures of angles A, B, and C are respectively 21°, 125°, and 34°

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