Use Substitution to solve 0.1d + 0.25q = 2.25 and d + q = 12
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Use the substitution method to solve:
0.1d + 0.25q = 2.25
d + q = 12
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for d:
d + q = 12
Subtract q from both sides to isolate d:
d + q - q = 12 - q
d = 12 - q
Plug Revised Equation 2 value into d:
0.1(d) + 0.25q = 2.25
0.1 * (12 - q) + 0.25q = 2.25
1.2 - 0.1q + 0.25q = 2.25
Group like terms:
-0.1q + 0.25q = 2.25 - 1.2
0.15q = 1.05
Divide each side by 0.15
0.15q
0.15
=
1.05
0.15
q =
1.05
0.15
q = 7
Plug this answer into Equation 1
0.1d + 0.25(7) = 2.25
0.1d + 1.75 = 2.25
0.1d = 2.25 - 1.75
0.1d = 0.5
Divide each side by 0.1
0.1d
0.1
=
0.5
0.1
d =
0.5
0.1
d = 5
What is the Answer?
d = 5 and q = 7
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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2 equations 2 unknowns This calculator has 2 inputs.
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