Use Cramers Method to solve a + c = 327 and 4a + 1.50c = 978
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Use Cramers method to solve:
a + c = 327
4a + 1.50c = 978
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
a + c = 327
a = 1, b = 1, c = 327
Find d, e, f in dx + ey = f
4a + 1.50c = 978
d = 4, e = 1.50, f = 978
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 1.50) - (1 * 4)
Δ = 1.5 - 4
Δ = -2.5
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (327 * 1.50) - (1 * 978)
Numerator(a) = 490.5 - 978
Numerator(a) = -487.5
Step 3, calculate the numerator for c
Numerator(c) = a * f - c * d
Numerator(c) = (1 * 978) - (327 * 4)
Numerator(c) = 978 - 1308
Numerator(c) = -330
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-487.5
-2.5
a = 195
You have 2 free calculationss remaining
c =
Numerator(c)
Δ
c =
-330
-2.5
c = 132
You have 2 free calculationss remaining
What is the Answer?
c = 132
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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