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Determine the solution to the system of equations below.

x - 3y = 1
3x-5y = 11

Pls answer for 50 brainlist!!

Sagot :

Answer:

[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]

Step-by-step explanation:

To solve this problem, isolate it on one side of the equation.

x-3y=1 and 3x-5y=11

x-3y=1: x=1+3y

x=1+3y

Substitute.

x=1+3y= 3(1+3y)-5y=11

Solve.

3+4y=11

Subtract by 3 from both sides.

3+4y-3=11-3

Solve.

11-3=8

Rewrite the problem down.

4y=8

Divide by 4 from both sides.

4y/4=8/4

Solve.

8/4=2

y=2

x=1+3y

x=1+3*2

Solve.

PEMDAS stands for:

  • Parenthesis
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

1+3*2

Multiply.

3*2=6

Add.

1+6=7

x=7

  • Therefore, the correct answer is x=7 and y=2.

I hope this helps you! Let me know if my answer is wrong or not.