What is the solution to this system of equations?

{4x−3y=26 3x+2y=11

The solution to the system of equations 4x−3y=26 and 3x+2y=11 is x=5 and y= -2

Solution:

Given that two linear equations are 4x−3y=26 and 3x+2y=11

We have to find the values of “x” and “y”

Let us consider 4x−3y=26 eqn 1

3x+2y=11  --- eqn 2

Multiplying equation 1 with 2 we get,

8x – 6y = 52  --- eqn 3

Similarly multiplying equation 2 with 3 we get,

9x + 6y = 33 --- eqn 4

Solving equation 3 and equation 4 we get,

17x + 0 = 85

17x = 85  

x = 5

Substitute the value of “x” in equation1 to get “y” value,

4(5) – 3y = 26

20 – 3y = 26

3y = 20-26

y = -2

Hence the solution to the system of equations 4x−3y=26 and 3x+2y=11 is x=5 and y= -2