Use Substitution to solve 0.08x + 0.2y = 54 and x + y = 450
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Use the substitution method to solve:
0.08x + 0.2y = 54
x + y = 450
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for x:
x + y = 450
Subtract y from both sides to isolate x:
x + y - y = 450 - y
x = 450 - y
Plug Revised Equation 2 value into x:
0.08(x) + 0.2y = 54
0.08 * (450 - y) + 0.2y = 54
36 - 0.08y + 0.2y = 54
Group like terms:
-0.08y + 0.2y = 54 - 36
0.12y = 18
Divide each side by 0.12
0.12y
0.12
=
18
0.12
y =
18
0.12
y = 150
Plug this answer into Equation 1
0.08x + 0.2(150) = 54
0.08x + 30 = 54
0.08x = 54 - 30
0.08x = 24
Divide each side by 0.08
0.08x
0.08
=
24
0.08
x =
24
0.08
x = 300
What is the Answer?
x = 300 and y = 150
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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