What is the solution of the system of equations? y = x - 10 y = 2x + 5
Mathematics · Middle School · Sun Jan 24 2021
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Given the systems of equation:
y = x - 10
y = 2x + 5
Solution:
Equate the two given systems of linear equation in one solution.
x - 10 = 2x + 5
In order to determine the solution, we transpose x and 5 to their opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
x - 10 = 2x + 5
- 10 - 5 = 2x + x
3x = -15
Divide both sides by 3 in order to determine the value of x.
3x/3 = -15/3
x = -5
Final answer:
x = -5