kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Middle/High School Algebra, Geometry, and Statistics (AGS)
1.20 Solving Equations - Elimination Method II

Method of Elimination


Example:
Solve x + 3y = 11 and 3x + 4y = 18.

Solution:
Given that, x + 3y = 11 --------(1)
3x + 4y = 18 ----------(2)
In the above equations we can not eliminate x and y addition or subtraction because the coefficients of x and y are different.  We use multiplication property of equality to solve these equation.
If every term in an equation is multiplied with real number the value of the equation remains unaltered.
Multiply all the terms of the first equation with 3 to make the coefficient of x equal in both equations.
Equation (1) * 3 = 3x + 9y = 33------(3)
Subtracting the equation (3) from (2), we get
3x + 4y = 18--------(2)
3x + 9y = 33--------(3)
Subtracting the equation (3) from (2)

-5y = -15

-5y = -15
y = -15 / -5 = 3
Therefore, y = 3
Substitute y = 3 in one of the equation to find x value.
x + 3y = 11
x + 3 * 3 = 11
x + 9 = 11
x = 11 - 9 = 2
Solution set = {(2,3)}

Verification:
We have to verify the solution (2,3) satisfies both equations or not.
Substitute x = 2 and y = 3 in the given equations.
x + 3y = 11 and 3x + 4y = 18
2 + 3 * 3 = 11 and 3 * 2 + 4 * 3 = 18
2 + 9 = 11 and 6 + 12 = 18
11 = 11 and 18 = 18
Therefore, the solution (2,3) is correct.


Directions: Choose the correct answer. Also write at least ten examples of your own.
Q 1: Solve x + 3y = 7 and 3x + 4y = 11.
x = 5 and y = 6
x = 1 and y = 2
x = 6 and y = 5
x = 2 and y = 1

Q 2: Solve 5x + 2y = 24 and x + 3y = 10.
x = 6 and y = 3
x = 2 and y = 4
x = 4 and y = 2
x = 3 and y = 6

Q 3: Solve x + 2y = 8 and 2x + 3y = 13.
x = 3 and y = 2
x = 3 and y = 5
x = 2 and y = 3
x = 5 and y = 3

Q 4: Solve 3x + 2y = 27 and x + y = 10.
x = 3 and y = 7
x = 8 and y = 4
x = 7 and y = 3
x = 4 and y = 8

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer