Solving a system of 2 equations addition-subtraction method, Mathematics

Assignment Help:

Solving a System of 2 Equations Using the Addition/Subtraction Method

To solve a system of linear equations using the addition/subtraction method, both equations should first be written in the form Ax + By = C.

Let's take a look at the system of equations below:

   x + 2y = 3

15x - 2y = 29

As shown below, adding the equations together eliminates one of the variables. In this case, it's the y-variable that is eliminated..

Now we're left with 16x = 32. Solving for x, we get x = 2.

Substitute 2 for the x-variable in either of the original equations and solve for y. (We'll use the equation x + 2y = 3 because it looks simpler.)

x + 2y = 3
2+2y = 3
2y = 1
Y = 1/2
So we claim that the solution to the system is (2, 1/2) Now check this answer in both of the original equations:

Therefore, the solution to the system is (2, 1/2)


Related Discussions:- Solving a system of 2 equations addition-subtraction method

Percent of a number, Pay $40 for plan offered for $30 for plan what percent...

Pay $40 for plan offered for $30 for plan what percentage of savings

Equivalent Fractions and Decimals, write each fraction as a decimal .round ...

write each fraction as a decimal .round to the nearest hundredth if necessary (1-4) (14-21)

Find the initial number of balls, Balls are arranged in rows to form an equ...

Balls are arranged in rows to form an equilateral triangle .The first row consists of one ball, the second two balls and so on.   If 669 more balls are added, then all the balls ca

Process for solving linear equations, 1. If the equation has any fractions ...

1. If the equation has any fractions employ the least common denominator to apparent the fractions. We will do this through multiplying both sides of the equation by the LCD. Al

Prove the boolean expression, Prove the subsequent Boolean expression: ...

Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to:   (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨

Mutually exclusive events, Mutually Exclusive Events A set of events i...

Mutually Exclusive Events A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for i

Sketch the feasible region, Sketch the feasible region for the following se...

Sketch the feasible region for the following set of constraints: 3y - 2x  ≥ 0 y + 8x  ≤  53 y - 2x  ≤  2 x  ≥ 3. Then find the maximum and minimum values of the objective

The quotient of 3d3 and 9d5 is, The quotient of 3d 3 and 9d 5 is The ...

The quotient of 3d 3 and 9d 5 is The key word quotient means division so the problem becomes 1d 3 -5/ 5. Divide the coef?cients:  1d 3 /3d-5 . While dividing like bases, subt

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd