Use Substitution to solve 5a - 2b = 23 and 1a - 5b = 23
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Use the substitution method to solve:
5a - 2b = 23
1a - 5b = 23
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:
a - 5b = 23
Add 5b to both sides to isolate a
a - 5b + 5b = 23 + 5b
a = 23 + 5b
Now divide both sides by 1:
a
1
=
23 + 5b
1
Revised Equation 2:
a =
23 + 5b
1
Plug Revised Equation 2 value into a:
5(a) - 2b = 23
5 * ((23 + 5b)/1) - 2b = 23
115 + 25b - 2b = 23
Group like terms:
25b - 2b = 23 - 115
23b = -92
Divide each side by 23
23b
23
=
-92
23
b =
-92
23
b = -4
Plug this answer into Equation 1
5a - 2(-4) = 23
5a + 8 = 23
5a = 23 - 8
5a = 15
Divide each side by 5
5a
5
=
15
5
a =
15
5
a = 3
What is the Answer?
a = 3 and b = -4
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.
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