Use Cramers Method to solve 5x + 15y = 2375 and x + y = 235
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Use Cramers method to solve:
5x + 15y = 2375
x + y = 235
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
5x + 15y = 2375
a = 5, b = 15, c = 2375
Find d, e, f in dx + ey = f
x + y = 235
d = 1, e = 1, f = 235
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (5 * 1) - (15 * 1)
Δ = 5 - 15
Δ = -10
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (2375 * 1) - (15 * 235)
Numerator(x) = 2375 - 3525
Numerator(x) = -1150
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (5 * 235) - (2375 * 1)
Numerator(y) = 1175 - 2375
Numerator(y) = -1200
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-1150
-10
x = 115
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
-1200
-10
y = 120
You have 2 free calculationss remaining
What is the Answer?
y = 120
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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