Question

Use the substitution method to solve this system of equations.

Answer 1

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.

• Thus:

y = 14.4x + 319 ----> Eqn. 2

3.8x + 444 = 14.4x + 319

• Add like terms together

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.

• Thus:

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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