Use Cramers Method to solve 0.1d + 0.25q = 2.25 and d + q = 12

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Use Cramers method to solve:

0.1d + 0.25q = 2.25

d + q = 12

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

0.1d + 0.25q = 2.25

a = 0.1, b = 0.25, c = 2.25

Find d, e, f in dx + ey = f

d + q = 12

d = 1, e = 1, f = 12

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (0.1 * 1) - (0.25 * 1)

Δ = 0.1 - 0.25

Δ = -0.15

Step 2, calculate the numerator for d

Numerator(d) = c * e - b * f

Numerator(d) = (2.25 * 1) - (0.25 * 12)

Numerator(d) = 2.25 - 3

Numerator(d) = -0.75

Step 3, calculate the numerator for q

Numerator(q) = a * f - c * d

Numerator(q) = (0.1 * 12) - (2.25 * 1)

Numerator(q) = 1.2 - 2.25

Numerator(q) = -1.05

Evaluate and solve:

d =

Numerator(d)

Δ

d =

-0.75

-0.15

d = 5

q =

Numerator(q)

Δ

q =

-1.05

-0.15

q = 7

What is the Answer?

q = 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
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