Use Substitution to solve n + q = 52 and 0.05n + 0.25q = 6.20
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Use the substitution method to solve:
n + q = 52
0.05n + 0.25q = 6.20
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for n:
0.05n + 0.25q = 6.20
Subtract 0.25q from both sides to isolate n:
0.05n + 0.25q - 0.25q = 6.20 - 0.25q
0.05n = 6.20 - 0.25q
Now divide by 0.05:
0.05n
0.05
=
6.20 - 0.25q
0.05
Revised Equation 2:
n =
6.20 - 0.25q
0.05
Plug Revised Equation 2 value into n:
1(n) + q = 52
1 * ((6.20 - 0.25q)/0.05) + q = 52
((6.2 - 0.25q)/0.05) + q = 52
Multiply equation 1 through by 0.05
0.05 * (((6.2 - 0.25q)/0.05) + q = 52)
0.05 * (((6.2 - 0.25q)/0.05) + q = 52)
6.2 - 0.25q + 0.05q = 2.6
Group like terms:
-0.25q + 0.05q = 2.6 - 6.2
-0.2q = -3.6
Divide each side by -0.2
-0.2q
-0.2
=
-3.6
-0.2
q =
-3.6
-0.2
q = 18
Plug this answer into Equation 1
1n + 1(18) = 52
1n + 18 = 52
1n = 52 - 18
1n = 34
Divide each side by 1
1n
1
=
34
1
n =
34
1
n = 34
What is the Answer?
n = 34 and q = 18
How does the Simultaneous Equations Calculator work?
Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods: 1) Substitution Method (Direct Substitution) 2) Elimination Method 3) Cramers Method or Cramers Rule
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