Use Cramers Method to solve 3a + 4c = 136 and 2a + 3c = 97
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Use Cramers method to solve:
3a + 4c = 136
2a + 3c = 97
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Set up standards equations
Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
Find a, b, c in ax + by = c
3a + 4c = 136
a = 3, b = 4, c = 136
Find d, e, f in dx + ey = f
2a + 3c = 97
d = 2, e = 3, f = 97
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (3 * 3) - (4 * 2)
Δ = 9 - 8
Δ = 1
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (136 * 3) - (4 * 97)
Numerator(a) = 408 - 388
Numerator(a) = 20
Step 3, calculate the numerator for c
Numerator(c) = a * f - c * d
Numerator(c) = (3 * 97) - (136 * 2)
Numerator(c) = 291 - 272
Numerator(c) = 19
Evaluate and solve:
a =
Numerator(a)
Δ
a =
20
1
a = 20
You have 2 free calculationss remaining
c =
Numerator(c)
Δ
c =
19
1
c = 19
You have 2 free calculationss remaining
What is the Answer?
c = 19
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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
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