Use Elimination to solve 5a - 2b = 23 and 1a - 5b = 23
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Use the elimination 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.
Step 1: Multiply Equation 1 by 1:
1 * (5a-2b=23) --> 5a - 2b = 23
Step 2: Multiply Equation 2 by 5:
5 * (1a-5b=23) --> 5a - 25b = 115
Step 3: Equation 1 - Equation 2:
5a - 2b = 23 - (5a - 25b = 115) -(5a - 25b = 115)
-2b - -25b = 23 - 115
Step 4: simplify and solve for b:
23b = -92
b =
-92
23
b = -4
Step 5: Rearrange Equation 1 to solve for a:
5a = 23 - -2b
Divide each side by 5
5a
5
=
23 - -2b
5
a =
23 - -2b
5
Step 6: Plug b = -4 into equation 1:
a =
23 - -2(-4)
5
a =
23 - 8
5
a =
15
5
a = 3
What is the Answer?
a = 3
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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