Use Cramers Method to solve m + w = 950 and 0.85m + 0.90w = 834
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Use Cramers method to solve:
m + w = 950
0.85m + 0.90w = 834
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
m + w = 950
a = 1, b = 1, c = 950
Find d, e, f in dx + ey = f
0.85m + 0.90w = 834
d = 0.85, e = 0.90, f = 834
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.90) - (1 * 0.85)
Δ = 0.9 - 0.85
Δ = 0.05
Step 2, calculate the numerator for m
Numerator(m) = c * e - b * f
Numerator(m) = (950 * 0.90) - (1 * 834)
Numerator(m) = 855 - 834
Numerator(m) = 21
Step 3, calculate the numerator for w
Numerator(w) = a * f - c * d
Numerator(w) = (1 * 834) - (950 * 0.85)
Numerator(w) = 834 - 807.5
Numerator(w) = 26.5
Evaluate and solve:
m =
Numerator(m)
Δ
m =
21
0.05
m = 420
You have 2 free calculationss remaining
w =
Numerator(w)
Δ
w =
26.5
0.05
w = 530
You have 2 free calculationss remaining
What is the Answer?
w = 530
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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2 equations 2 unknowns This calculator has 2 inputs.
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