Find the equation of line which is equal distance from the two lines 9x + 6y = 7 and 3x + 2y = -6
Answers
Answer:
Step-by-step explanation:
9x + 6y = 7
Solving
9x + 6y = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
9x + 6y + -6y = 7 + -6y
Combine like terms: 6y + -6y = 0
9x + 0 = 7 + -6y
9x = 7 + -6y
Divide each side by '9'.
x = 0.7777777778 + -0.6666666667y
Simplifying
x = 0.7777777778 + -0.6666666667y
3x+2y=-6
3x + 2y = -6
Solving
3x + 2y = -6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = -6 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = -6 + -2y
3x = -6 + -2y
Divide each side by '3'.
x = -2 + -0.6666666667y
Simplifying
x = -2 + -0.6666666667y
Answer:
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