Use Substitution to solve a + c = 414 and 2a + 1.75c = 755.25
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Use the substitution method to solve:
a + c = 414
2a + 1.75c = 755.25
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:
2a + 1.75c = 755.25
Subtract 1.75c from both sides to isolate a:
2a + 1.75c - 1.75c = 755.25 - 1.75c
2a = 755.25 - 1.75c
Now divide by 2:
2a
2
=
755.25 - 1.75c
2
Revised Equation 2:
a =
755.25 - 1.75c
2
Plug Revised Equation 2 value into a:
1(a) + c = 414
1 * ((755.25 - 1.75c)/2) + c = 414
((755.25 - 1.75c)/2) + c = 414
Multiply equation 1 through by 2
2 * (((755.25 - 1.75c)/2) + c = 414)
2 * (((755.25 - 1.75c)/2) + c = 414)
755.25 - 1.75c + 2c = 828
Group like terms:
-1.75c + 2c = 828 - 755.25
0.25c = 72.75
Divide each side by 0.25
0.25c
0.25
=
72.75
0.25
c =
72.75
0.25
c = 291
Plug this answer into Equation 1
1a + 1(291) = 414
1a + 291 = 414
1a = 414 - 291
1a = 123
Divide each side by 1
1a
1
=
123
1
a =
123
1
a = 123
What is the Answer?
a = 123 and c = 291
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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