Use Elimination to solve 2x + y = 35 and 3x + 4y = 65
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Use the elimination method to solve:
2x + y = 35
3x + 4y = 65
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 * (2x+y=35) --> 6x + 3y = 105
Step 2: Multiply Equation 2 by 2:
2 * (3x+4y=65) --> 6x + 8y = 130
Step 3: Equation 1 - Equation 2:
6x + 3y = 105 - (6x + 8y = 130) -(6x + 8y = 130)
3y - 8y = 105 - 130
Step 4: simplify and solve for y:
-5y = -25
y =
-25
-5
y = 5
Step 5: Rearrange Equation 1 to solve for x:
2x = 35 - 1y
Divide each side by 2
2x
2
=
35 - 1y
2
x =
35 - 1y
2
Step 6: Plug y = 5 into equation 1:
x =
35 - 1(5)
2
x =
35 - 5
2
x =
30
2
x = 15
What is the Answer?
x = 15
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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