Enter Simultaneous Equations:

<-- Equation 1
<-- Equation 2

a + s = 304

7a + 2s = 1118

Check Format

Equation 1 is in the correct format.

Check Format

Equation 2 is in the correct format.

7a + 2s = 1118

Subtract 2s from both sides to isolate a:

7a + 2s - 2s = 1118 - 2s

7a = 1118 - 2s

Now divide by 7:

 7a 7
 =
 1118 - 2s 7

Revised Equation 2:

 a  = 1118 - 2s 7

Plug Revised Equation 2 value into a:

1(a) + s = 304

1 * ((1118 - 2s)/7) + s = 304

((1118 - 2s)/7) + s = 304

Multiply equation 1 through by 7

7 * (((1118 - 2s)/7) + s = 304)

7 * (((1118 - 2s)/7) + s = 304)

1118 - 2s + 7s = 2128

Group like terms:

-2s + 7s = 2128 - 1118

5s = 1010

Divide each side by 5

 5s 5
 =
 1010 5

 s  = 1010 5

s = 202

Plug this answer into Equation 1

1a + 1(202) = 304

1a + 202 = 304

1a = 304 - 202

1a = 102

Divide each side by 1

 1a 1
 =
 102 1

 a  = 102 1

a = 102

a = 102 and 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.

What 1 formula is used for the Simultaneous Equations Calculator?

Δ = a * e - b * d

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Simultaneous Equations Calculator?

cramers rule
an explicit formula for the solution of a system of linear equations with as many equations as unknowns
eliminate
to remove, to get rid of or put an end to
equation
a statement declaring two mathematical expressions are equal
simultaneous equations
two or more algebraic equations that share variables
substitute
to put in the place of another. To replace one value with another
unknown
a number or value we do not know
variable
Alphabetic character representing a number