Use Cramers Method to solve 0.08x + 0.2y = 54 and x + y = 450
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Use Cramers method to solve:
0.08x + 0.2y = 54
x + y = 450
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
0.08x + 0.2y = 54
a = 0.08, b = 0.2, c = 54
Find d, e, f in dx + ey = f
x + y = 450
d = 1, e = 1, f = 450
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (0.08 * 1) - (0.2 * 1)
Δ = 0.08 - 0.2
Δ = -0.12
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (54 * 1) - (0.2 * 450)
Numerator(x) = 54 - 90
Numerator(x) = -36
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (0.08 * 450) - (54 * 1)
Numerator(y) = 36 - 54
Numerator(y) = -18
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-36
-0.12
x = 300
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
-18
-0.12
y = 150
You have 2 free calculationss remaining
What is the Answer?
y = 150
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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