The solution to the system of equations, rounded to the nearest integer is: (12, 489)
Given the system of equations:
y = 3.8x + 444 ---> Eqn. 1
y = 14.4x + 319 ----> Eqn. 2
To solve using the substitution method, substitute y for 3.8x + 444 in eqn. 2.
y = 14.4x + 319 ----> Eqn. 2
3.8x + 444 = 14.4x + 319
3.8x - 14.4x = -444 + 319
-10.6x = -125
- Divide both sides by -10.6
x = 11.8
Substitute x for 11.8 into Eqn. 1.
y = 3.8x + 444 ---> Eqn. 1
y = 3.8(11.8) + 444
y = 488.84
Therefore, the solution to the system of equations, rounded to the nearest integer is: (12, 489)
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