Use Cramers Method to solve 30a + 30s = 750 and 27a + 28s = 682
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Use Cramers method to solve:
30a + 30s = 750
27a + 28s = 682
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
30a + 30s = 750
a = 30, b = 30, c = 750
Find d, e, f in dx + ey = f
27a + 28s = 682
d = 27, e = 28, f = 682
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (30 * 28) - (30 * 27)
Δ = 840 - 810
Δ = 30
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (750 * 28) - (30 * 682)
Numerator(a) = 21000 - 20460
Numerator(a) = 540
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (30 * 682) - (750 * 27)
Numerator(s) = 20460 - 20250
Numerator(s) = 210
Evaluate and solve:
a =
Numerator(a)
Δ
a =
540
30
a = 18
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
210
30
s = 7
You have 2 free calculationss remaining
What is the Answer?
s = 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
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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