Use Cramers Method to solve a + s = 304 and 7a + 2s = 1118

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Use Cramers method to solve:

a + s = 304

7a + 2s = 1118

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

a + s = 304

a = 1, b = 1, c = 304

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

7a + 2s = 1118

d = 7, e = 2, f = 1118

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (1 * 2) - (1 * 7)

Δ = 2 - 7

Δ = -5

Step 2, calculate the numerator for a

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

Numerator(a) = (304 * 2) - (1 * 1118)

Numerator(a) = 608 - 1118

Numerator(a) = -510

Step 3, calculate the numerator for s

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

Numerator(s) = (1 * 1118) - (304 * 7)

Numerator(s) = 1118 - 2128

Numerator(s) = -1010

Evaluate and solve:

a =

Numerator(a)

Δ

a =

-510

-5

a = 102

You have 2 free calculationss remaining

s =

Numerator(s)

Δ

s =

-1010

-5

s = 202

You have 2 free calculationss remaining

What is the Answer?

s = 202

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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.

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