Final answer:
To convert the system of equations into (x, y) form, you need to isolate one variable in one of the equations and substitute it into the other equation. In this case, isolate x in the first equation, substitute it into the second equation, solve for y, and then substitute y back into the first equation to find x. The system of equations x = 5y - 13 and x + 3y = 19 can be written in (x, y) form as (7, 4).
Step-by-step explanation:
To convert the system of equations into (x, y) form, we need to isolate either variable in one of the equations and substitute it into the other equation.
Step 1: Isolate x in the first equation: x = 5y - 13.
Step 2: Substitute x in the second equation:
x + 3y = 19
(5y - 13) + 3y = 19
8y - 13 = 19
Step 3: Solve for y:
8y = 32
y = 4
Step 4: Substitute y back into the first equation to find x:
x = 5y - 13
x = 5(4) - 13
x = 20 - 13
x = 7
Therefore, the system of equations x = 5y - 13 and x + 3y = 19 can be written in (x, y) form as (7, 4).