Use Cramers Method to solve 3p + 4s = 40 and 5p + 6s = 62
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Use Cramers method to solve:
3p + 4s = 40
5p + 6s = 62
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
3p + 4s = 40
a = 3, b = 4, c = 40
Find d, e, f in dx + ey = f
5p + 6s = 62
d = 5, e = 6, f = 62
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (3 * 6) - (4 * 5)
Δ = 18 - 20
Δ = -2
Step 2, calculate the numerator for p
Numerator(p) = c * e - b * f
Numerator(p) = (40 * 6) - (4 * 62)
Numerator(p) = 240 - 248
Numerator(p) = -8
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (3 * 62) - (40 * 5)
Numerator(s) = 186 - 200
Numerator(s) = -14
Evaluate and solve:
p =
Numerator(p)
Δ
p =
-8
-2
p = 4
You have 2 free calculationss remaining
s =
Numerator(s)
Δ
s =
-14
-2
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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