Question

(2x+y,x+3y)=(12,11)​

Answer 1

Answer:

x=5, y=2

Step-by-step 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

    –––––––––

         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