11) Solve the system of equations by substitution. y = 2x + 5 y = 5x - 1
Mathematics · Middle School · Thu Feb 04 2021
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Given the equations:
y = 2x + 5
y = 5x - 1
Solve the system of equations by substitution.
Solution:
In order to solve by substitution, we simply need to substitute the first equation to the value of y of the second equation.
2x + 5 = 5x - 1
Solve for x.
In order to solve for x we transpose 2x and -1 to the opposite sides of the equation hence it must be taken to note that in transposing numbers the sign changes.
2x + 5 = 5x - 1
5 + 1 = 5x + 2x
7x = 6
Divide both sides by 7 in order to cancel out 7x, leaving behind x.
7x/7 = 6/7
x = 6/7
Final answer:
x = 6/7