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grin007 [14]
3 years ago
5

Determine the solution to the system of equations below.

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

\boxed{\sf{x=7 \quad y=2}}

Step-by-step explanation:

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

<h3>x-3y=1 and 3x-5y=11</h3>

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

x=1+3y

<u>Substitute.</u>

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

<u>Solve.</u>

3+4y=11

<u>Subtract by 3 from both sides.</u>

3+4y-3=11-3

Solve.

11-3=8

<u>Rewrite the problem down.</u>

4y=8

<u>Divide by 4 from both sides.</u>

4y/4=8/4

Solve.

8/4=2

<u>y=2</u>

x=1+3y

x=1+3*2

Solve.

<u>PEMDAS stands for:</u>

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

1+3*2

Multiply.

3*2=6

Add.

1+6=7

<u>x=7</u>

  • <u>Therefore, the correct answer is x=7 and y=2.</u>

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

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Step-by-step explanation:

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