Use Elimination to solve m + s = 20 and 3m + 8s = 100
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Use the elimination method to solve:
m + s = 20
3m + 8s = 100
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 3:
3 * (m+s=20) --> 3m + 3s = 60
Step 2: Multiply Equation 2 by 1:
1 * (3m+8s=100) --> 3m + 8s = 100
Step 3: Equation 1 - Equation 2:
3m + 3s = 60 - (3m + 8s = 100) -(3m + 8s = 100)
3s - 8s = 60 - 100
Step 4: simplify and solve for s:
-5s = -40
s =
-40
-5
s = 8
Step 5: Rearrange Equation 1 to solve for m:
1m = 20 - 1s
Divide each side by 1
1m
1
=
20 - 1s
1
m =
20 - 1s
1
Step 6: Plug s = 8 into equation 1:
m =
20 - 1(8)
1
m =
20 - 8
1
m =
12
1
m = 12
What is the Answer?
m = 12
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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