S/A= 4.5, D/A=4.5,N/E=.80, A= D+E. SOLVE FOR N/S
To solve for N/S in the given equations, we need to eliminate the variable A from the equation by substituting its value using the equation A = D + E.
1. Start with the equation S/A = 4.5.
2. Substitute A with D + E: S/(D + E) = 4.5.
3. Multiply both sides of the equation by (D + E) to remove the denominator: S = 4.5(D + E).
4. Distribute the constant 4.5: S = 4.5D + 4.5E.
5. Rearrange the equation to isolate D: S - 4.5E = 4.5D.
6. Divide both sides of the equation by 4.5: (S - 4.5E) / 4.5 = D.
7. Simplify the equation: D = (S - 4.5E) / 4.5.
Now, let's solve for N/S using the equation N/E = 0.80.
8. Start with the equation N/E = 0.80.
9. Multiply both sides of the equation by E to remove the denominator: N = 0.80E.
Since we know A = D + E, we can now substitute D and E into the equation of N.
10. Substitute D with (S - 4.5E) / 4.5 in the equation for N: N = 0.80E.
11. Simplify the equation: N = 0.80E.
Therefore, the value of N/S is 0.80.