X and Y Table Solver

Introduction :
Solver:

A solver is a generic term indicating a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library that 'solves' a mathematical problem. A solver takes problem descriptions in some sort of generic form and calculates their solution. (source : Wikipedia)

x and y table solver:

The solver that used to solve the system of linear equations called as x and y table solver.

In this article we are going to see some sample and practice problems on x and y table solver.


Solved problems on x and y table solver:

Problem 1:

Solve the following system of equation by using x and y table solver.

5x + 8y = -6

3x - 4y =14

Solution:

Given,   5x + 8y = -6

3x - 4y  =14

The given equations are system of linear equation.

We can solve these equations by using substitution method or elimination method.

Here we are going to solve these equations by using both methods.

5x+8y = -6 --------- > 1

3x-4y=14  ---------- > 2

Multiply the equation 2 by 2,

2(3x-4y) = 2(14)

6x - 8y = 28 ----------- > 3

Add the equation 1 and 3,

5x+8y = -6

(+)6x - 8y = 28

11x -0 = 22

11x = 22

Divided by 11 on both sides,

x =22/11

x = 2

Substitute x =2 in the equation 1,

5x+8y = -6

5(2)+8y = -6

10+8y = -6

Subtract 10 on both sides,

10 + 8y - 10 = -6 -10

8y = -16

Divide by 8 on both sides,

y = -16/8

y = -2

The solution of the system of linear equation is x =2 and y = -2

Answer: x = 2 , y = -2

Problem 2:

Solve the following system of equation by using x and y table solver.

x + y =10

8x- y = 8

Solution:

Given,   x + y =10

8x- y = 8

The given equations are system of linear equation.

We can solve these equations by using substitution method or elimination method.

Here we are going to solve these equations by using both methods.

x + y =10 --------- > 1

8x- y = 8  ---------- > 2

Add the equation 1 and equation 2,

x + y = 10

(+)   8x - y = 8

9x = 18

Divide by 9 on both sides,

9x/9 =18/9

x = 2

Substitute x = 2 in 1,

x + y =10

2 + y =10

Subtract 2 on both sides,

2 + y -2 = 10 -2

y = 8

The solution of the system of given linear equation is x =2 and y = 8

Answer: x = 2 , y =8

Practice problems on x and y table solver:


Problems:

1.Solve the following system of equation by using x and y table solver.

x + y = 150

x - y = - 50


2. Solve the following system of equation by using x and y table solver.

x + 3y = 36

3x + y =  44

Answer key:

1. x =50 and y =100

2. x =12 and y = 8