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Solve the system of equations by the substitution method. 4x+3y= 45
x= 4y-3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Respuesta :

Wallameg000

Answer:

y=3, x=9

Step-by-step explanation:

The system of equations already gives us the value of x. So, to solve using the substitution method simply plug in 4y-3 into the first equation for x. This gives the new equation of 4(4y-3)+3y=45. Then, solve for y.

  • 16y-12+3y=45
  • 19y-12=45
  • 19y=57
  • y=3

Finally, plug in 3 for y in the second equation to find the value of x. 4(3)-3=9. Therefore, the answers are y=3, x=9.

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