Use Cramers Method to solve 0.5p 0.75h = 765 and 0.25p h = 745
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Use Cramers method to solve:
0.5p + 0.75h = 765
0.25p + h = 745
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
0.5p + 0.75h = 765
a = 0.5, b = 0.75, c = 765
Find d, e, f in dx + ey = f
0.25p + h = 745
d = 0.25, e = 1, f = 745
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (0.5 * 1) - (0.75 * 0.25)
Δ = 0.5 - 0.1875
Δ = 0.3125
Step 2, calculate the numerator for p
Numerator(p) = c * e - b * f
Numerator(p) = (765 * 1) - (0.75 * 745)
Numerator(p) = 765 - 558.75
Numerator(p) = 206.25
Step 3, calculate the numerator for h
Numerator(h) = a * f - c * d
Numerator(h) = (0.5 * 745) - (765 * 0.25)
Numerator(h) = 372.5 - 191.25
Numerator(h) = 181.25
Evaluate and solve:
p =
Numerator(p)
Δ
p =
206.25
0.3125
p = 660
You have 2 free calculationss remaining
h =
Numerator(h)
Δ
h =
181.25
0.3125
h = 580
You have 2 free calculationss remaining
What is the Answer?
h = 580
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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