Question

(2x+y,x+3y)=(12,11)​

Answer 1

x=5, y=2

Explanation:

Use the information given:

• 2x+y=12
• x+3y=11

Subtract them because we have two variables and two equations:

2x+y=12

- x+3y=11

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x-2y=1

We can by 1+2y (Add 2y to both sides) instead of x:

• 2(1+2y)+y=12

1. 2+4y+y=12
2. 2+5y=12
3. 5y=10
4. y=2

• (1+2y)+3y=11

1. 1+2y+3y=11
2. 1+5y=11
3. 5y=10
4. y=2

Now we can figure out x as we know y:

• 2x+1(2)=12

1. 2x+2=12
2. 2x=10
3. x=5

• x+3(2)=11

1. x+6=11
2. x=5