Answer: (2,4) is a solution to this system
Step-by-step explanation:
The given system of equations is expressed as
y = 2x - - - - - - - - - - - 1
y = -1/2x + 5 - - - - - - - - - 2
The first step is to equate equation 1 to equation 2. It becomes
2x = - 1/2x + 5
The next step is to add - 1/2x to the left hand side and the right hand side of the equation. It becomes
2x + x/2 = - x/2 + x/2 + 5
(4x + 2)/2 = 5
The next step is to multiply the left hand side and the right hand side of the equation by 2. It becomes
(4x + 2)/2 × 2= 5 × 2
4x + 2 = 10
Subtracting 2 from the left hand side and the right hand side of the equation. It becomes
4x + 2 - 2 = 10 - 2
4x = 8
Dividing the left hand side and the right hand side of the equation by 4, It becomes
4x/4 = 8/4
x = 8/4 = 2
Substituting x = 2 into equation 1, it becomes
y = 2 × 2 = 4
