Respuesta :
Answer:
x=-2, y=-8
Step-by-step explanation:
Solve by substitution
Rewrite equations
Solve x=y+6 for x
Substitute y+6 for x in 13x-6y=22
Substitute -8 for y in x=y+6
The solution of the equations 13x − 6y = 22 and x = y + 6 will be (−2, −8).
What is the solution of the equation?
The solution of the equation means the value of the unknown or variable.
The system of the linear equations are given below.
13x − 6y = 22 …(1)
x = y + 6 …(2)
Substitute the value of x in equation 1, then the equation will be
13(y + 6) – 6y = 22
13y + 78 – 6y = 22
7y = 22 – 78
7y = –56
y = –56 / 7
y = –8
Substitute the value of y in equation, then the equation will be
13x − 6(−8) = 22
13x + 48 = 22
13x = 22 – 48
13x = –26
x = –26 / 13
x = –2
The intersection of the line will be at (−2, −8).
Then the solution of the equations 13x − 6y = 22 and x = y + 6 will be (−2, −8).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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