Answer:
(12, 487)
Explanation:
y = 3.7x + 442 ----› Eqn. 1
y = 14.4x + 312 ----› Eqn. 2
Substitute y = (3.7x + 442) into eqn. 2.
y = 14.4x + 312 ----› Eqn. 2
3.7x + 442 = 14.4x + 312
Collect like terms
3.7x - 14.4x = -442 + 312
-10.7x = -130
Divide both sides by -10.7
x = 12.1495327
Substitute x = 12.1495327 into eqn. 1.
y = 3.7x + 442 ----› Eqn. 1
y = 3.7(12.1495327) + 442
y = 486.953271
The solution to the system is rounded to the nearest integer:
(12, 487)