Use Cramers Method to solve x + y = 23000 and 0.08x + 0.04y = 1560
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Use Cramers method to solve:
x + y = 23000
0.08x + 0.04y = 1560
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
x + y = 23000
a = 1, b = 1, c = 23000
Find d, e, f in dx + ey = f
0.08x + 0.04y = 1560
d = 0.08, e = 0.04, f = 1560
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.04) - (1 * 0.08)
Δ = 0.04 - 0.08
Δ = -0.04
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (23000 * 0.04) - (1 * 1560)
Numerator(x) = 920 - 1560
Numerator(x) = -640
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 1560) - (23000 * 0.08)
Numerator(y) = 1560 - 1840
Numerator(y) = -280
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-640
-0.04
x = 16000
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
-280
-0.04
y = 7000
You have 2 free calculationss remaining
What is the Answer?
y = 7000
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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