Use Cramers Method to solve a+c=459 and 53a + 16c = 13930
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Use Cramers method to solve:
a + c = 459
53a + 16c = 13930
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 = 459
a = 1, b = 1, c = 459
Find d, e, f in dx + ey = f
53a + 16c = 13930
d = 53, e = 16, f = 13930
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 16) - (1 * 53)
Δ = 16 - 53
Δ = -37
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (459 * 16) - (1 * 13930)
Numerator(a) = 7344 - 13930
Numerator(a) = -6586
Step 3, calculate the numerator for c
Numerator(c) = a * f - c * d
Numerator(c) = (1 * 13930) - (459 * 53)
Numerator(c) = 13930 - 24327
Numerator(c) = -10397
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-6586
-37
a = 178
You have 2 free calculationss remaining
c =
Numerator(c)
Δ
c =
-10397
-37
c = 281
You have 2 free calculationss remaining
What is the Answer?
c = 281
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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