Find the value of n in the solution to the system of equations shown.
m = 5n – 3
m = 3n + 7
Find the value of n in the solution to the system of equations shown. m = 5n – 3 m = 3n + 7
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Find the value of n in the solution to the system of equations shown.
m = 5n – 3
m = 3n + 7
To find the value of ( n ) in the system of equations, we can set the two equations equal to each other since they both equal ( m ).
1. Start with the equations:
[
m = 5n – 3
]
[
m = 3n + 7
]
2. Set them equal to each other:
[
5n – 3 = 3n + 7
]
3. Now, solve for ( n ):
– Subtract ( 3n ) from both sides:
[
5n – 3n – 3 = 7
]
which simplifies to:
[
2n – 3 = 7
]
– Next, add ( 3 ) to both sides:
[
2n = 10
]
– Finally, divide by ( 2 ):
[
n = 5
]
The value of ( n ) is ( 5 ). If you need any further information or assistance, feel free to explore our extended services page!