Find the value of n in the solution to the system of equations shown. m=5n-3 m=3n+7

5n-3=3n+7

5n=3n+10 (7+3)

2n=10 (5-3)

n=5 (2/10)

Since both of the equations are equal to m, we can set them equal to each other. 5n - 3 = 3n + 7. Subtract 3n from both sides, 2n - 3 = 7. And add 3 to both sides, 2n = 10. Now divide both sides by 2, n = 10.