X + 2y = 14
у= 3х - 14

x =6 and y=4

(6, 4)

Step-by-step explanation:

We can solve this equation by either using elimination method, substitution method or both method.

In this case we will use substitution method

x + 2y = 14  (1)

у= 3х - 14 (2)

substitute equation (2) into equation (1)

x + 2(3x-14) = 14

x + 6x -28 = 14

7x -28 =14

Add 28 to both-side of the equation

7x - 28 + 28 = 14 + 28

7x = 42

Divide both-side of the equation by 7 to get the value of x

7x/7 = 42/7

(on the right-hand side of the equation 7 at the numerator will cancel-out 7 at the denominator leaving us with just x while on the right-hand side of the equation 42 will be divided by 7)

x = 42/7

x =6

substitute x=6 into equation (2)

y = 3x -14

y = 3(6) - 14

y = 18 -14

y =4

Therefore x =6 and y =4

(6, 4)