Answer:
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)
