Question

What is the value of x in the following system of equations
11x+12y=13
14x+15y=16

Answer 1

The value of x in the given system of equations 11x + 12y = 13 and 14x + 15y = 16 is -1, found by using the elimination method.

Step-by-step explanation:

To find the value of x in the system of linear equations:

1. 11x + 12y = 13
2. 14x + 15y = 16

we can use the method of elimination or substitution. First, let's attempt to solve it using the elimination method by making the coefficients of y the same in both equations.

Multiply the first equation by 15 and the second by 12:

1. 165x + 180y = 195
2. 168x + 180y = 192

Now subtract the second equation from the first:

1. (165x - 168x) + (180y - 180y) = (195 - 192)
2. -3x = 3

Divide both sides by -3 to solve for x:

x = -1

Therefore, the value of x in the given system of equations is -1.