Use Cramers Method to solve a + s = 175 and 8a + 5s = 1028
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Use Cramers method to solve:
a + s = 175
8a + 5s = 1028
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 + s = 175
a = 1, b = 1, c = 175
Find d, e, f in dx + ey = f
8a + 5s = 1028
d = 8, e = 5, f = 1028
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 5) - (1 * 8)
Δ = 5 - 8
Δ = -3
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (175 * 5) - (1 * 1028)
Numerator(a) = 875 - 1028
Numerator(a) = -153
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 1028) - (175 * 8)
Numerator(s) = 1028 - 1400
Numerator(s) = -372
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-153
-3
a = 51
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
-372
-3
s = 124
You have 2 free calculationss remaining
What is the Answer?
s = 124
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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