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

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Use the substitution 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.

Rearrange Equation 2 to solve for a:

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

What is the Answer?

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
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