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Solve the system of equations below using substitution, elimination or linear combination.
x+2y=−7
3x−8y=7

2 Answers

6 votes

Answer:

x= -3

y= -2

Explanation:

(1) x + 2y= -7

(2) 3x - 8y= 7

Balance a term in both equations for elimination

Equation (1) x (3) 3x + 6y= -21

Equation (2) x (-1) -3x + 8y= -7

After the calculation, it will result to:

14y= -28

Divide both sides by the coefficient of y

This will result to:

y= -2

From equation (1):

x + 2y= -7

Insert the unit of y (-2)

x + 2(-2)= -7

x - 4= -7

Collect like and unlike terms

x= 4 -7

x= -3

TO CHECK:

3x - 8y= 7

Insert the solved units

3(-3) - 8(-2)= 7

-9 - (-16)= 7

-9 + 16= 7

16 - 9= 7

CORRECT!!!

User Geraldo
by
5.5k points
9 votes

Answer:

4x+-6y=7

Explanation:

hope this helps

User Cheerio
by
4.7k points