Solve for x and y 4y=4x+4 & 7y=9x-7

We'll solve the system of equations using substitution
method.

We'll isolate y to the left side, such as the first
equation give:

y = (4x+4)/4

y
= 4(x+1)/4

y = x + 1 (1)

We'll
isolate y to the left side, such as the second equation
gives:

y = (9x-7)/7 (2)

We'll
equate (1) and (2):

x + 1 =
(9x-7)/7

We'll multiply by 7 both
sides:

7(x+1) = 9x - 7

We'll
remove the brackets:

7x + 7 = 9x -
7

We'll move the terms in x to the left
side:

7x - 9x = -7 - 7

-2x =
-14

x = 7

From (1) => y
= x + 1 <=> y = 7 + 1 = 8

The
solution of the system is represented by the pair (7 ;
8).