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!