Use Substitution to solve a + c = 327 and 4a + 1.50c = 978
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Use the substitution method to solve:
a + c = 327
4a + 1.50c = 978
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:
4a + 1.5c = 978
Subtract 1.5c from both sides to isolate a:
4a + 1.5c - 1.5c = 978 - 1.5c
4a = 978 - 1.5c
Now divide by 4:
4a
4
=
978 - 1.5c
4
Revised Equation 2:
a =
978 - 1.5c
4
Plug Revised Equation 2 value into a:
1(a) + c = 327
1 * ((978 - 1.50c)/4) + c = 327
((978 - 1.5c)/4) + c = 327
Multiply equation 1 through by 4
4 * (((978 - 1.5c)/4) + c = 327)
4 * (((978 - 1.5c)/4) + c = 327)
978 - 1.5c + 4c = 1308
Group like terms:
-1.5c + 4c = 1308 - 978
2.5c = 330
Divide each side by 2.5
2.5c
2.5
=
330
2.5
c =
330
2.5
c = 132
Plug this answer into Equation 1
1a + 1(132) = 327
1a + 132 = 327
1a = 327 - 132
1a = 195
Divide each side by 1
1a
1
=
195
1
a =
195
1
a = 195
What is the Answer?
a = 195 and c = 132
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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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