Question

Solve the equations by elimination method x + 2 y = 11 and x - y = 2.
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Answer 1

Answer:

Y = 3

Step-by-step explanation:

x - y = 2

so,

x = 2+y

put 2+y in place of x in the equation,

2+y+2y = 11

2+3y = 11

3y = 11-2

3y = 9

y = 3

Answer 2

Answer:

x = 5, y = 2

Step-by-step explanation:

x + 2y = 11

x - y = 3

Multiply the 2nd equation by 2 to eliminate y:

x + 2y = 11

(x - y = 2 ) x 2

x + 2y = 11

2x - 2y = 4

Now add the equations above

3x = 15

x = 5

Now use the value of x in the first equation:

x + 2y = 11

5 + 2y = 11

2y = 11 - 5

2y = 6

y = 3

x = 5 y = 3

Checking:

x + 2y = 11 (5) + 2(3) = 11; 11 = 11 ☆

x - y = 2 (5) - (3) = 2; 2 = 2 ☆