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ad-work [718]
3 years ago
14

Here is a system of equations Y= 2x Y= -1/2x + 5 Determine whether (2,4) is a solution to this system Use Algebra to show whethe

r (2,4) is or is not a solution to the system. SHOW ALL WORK and explain each step.
Mathematics
1 answer:
gregori [183]3 years ago
6 0

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

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