Use Elimination to solve x + 2y = 11 and 2x + y = 34
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Use the elimination method to solve:
x + 2y = 11
2x + y = 34
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 2:
2 * (x+2y=11) --> 2x + 4y = 22
Step 2: Multiply Equation 2 by 1:
1 * (2x+y=34) --> 2x + 1y = 34
Step 3: Equation 1 - Equation 2:
2x + 4y = 22 - (2x + 1y = 34) -(2x + 1y = 34)
4y - 1y = 22 - 34
Step 4: simplify and solve for y:
3y = -12
y =
-12
3
y = -4
Step 5: Rearrange Equation 1 to solve for x:
1x = 11 - 2y
Divide each side by 1
1x
1
=
11 - 2y
1
x =
11 - 2y
1
Step 6: Plug y = -4 into equation 1:
x =
11 - 2(-4)
1
x =
11 - -8
1
x =
19
1
x = 19
What is the Answer?
x = 19
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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