Answer:
Its true ⇒ answer (a)
Explanation:
* The solution of two linear equation means that this solution
is a solution for each equation
* To check if the point is a solution of an equation
- Substitute its coordinates in the equation, if the left hand side
is equal the right hand side, then the point is a solution
of this equation
* Lets study our problem
- (-2 2) is the solution of two linear equations
- The slope of one equation is 3
- The slope of the second equation is the negative reciprocal
of the slope of the first, means = -1/3
* Check the this conditions in the given equations
- In the equation y = 3x + 8 ⇒ the slope = 3
- In the equation y = -1/3 x + 4/3 ⇒ the slope = -1/3
* Now lets substitute the solution (-2 , 2) in the both equations
- First equation
∵ y = 2 ⇒ L.H.S
∵ 3(-2) + 8 = 2 ⇒ R.H.S
∵ L.H.S = R.H.S
∴ (-2 , 2) is a solution of the equation y = 3x + 8
- Second equation
∵ y = 2 ⇒ L.H.S
∵ (-1/3)(-2) + 4/3 = 2/3 + 4/3 = 6/3 = 2 ⇒ R.H.S
∵ L.H.S = R.H.S
∴ (-2 , 2) is a solution of the equation y = -1/3 x + 4/3
∴ (-2 , 2) is the solution of the two equations
* Its true