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Use the substitution method to solve this system of equations.

Use The Substitution Method To Solve This System Of Equations class=

Sagot :

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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