Question

QUESTION NO. 1: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.)x − y = 26x − 5y = 16(x, y) = (larger x-value)

Answer 1

Let's determine the solution using the method of Substitution.

Equation 1:

x - y = 2

-y = -x + 2

(-y = -x + 2)/-1

y = x - 2 (Substitue to the second equation)

6x - 5y = 16

6x - 5(x - 2) = 16

6x - 5x + 10 = 16

x = 16 - 10

x = 6 (Substitute to the 1st equation)

y = x - 2

y = 6 - 2

y = 4

Therefore, the solution is x, y = 6, 4