Question

& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8

Answer 1

• 
  `\boxed{\sf{x=3 \quad y=4}}`

Explanation:

Isolate the term of x and y from one side of the equation.

x+2y=11 and 4x-y=8

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

• Therefore, the correct answer is x=3 and y=4.

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