Question

Determine the solution to the system: y = 6x - 11 -2x - 3y = -7

Answer 1

Solution: x = 2 and y = 1

Explanation:

Given,

y = 6x - 11 -----> equation 1

- 2x - 3y = - 7 -----> equation 2

Replacing the value of y from equation 1 in equation 2, we get the following equation

- 2x - 3(6x - 11) = - 7

or, - 2x - 18x + 33 = - 7

or, - 20x = - 40

or, x = 2

Now,

y = 6 * 2 - 11 = 1