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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