Question

Solve x and y by elimination method
x+y=8 2x-y=7​

Answer 1

Step-by-step explanation:

1. x + y = 8 2x - y = 7
2. x + y + 2x - y = 7 + 8
3. 3x = 15 ÷ 3
4. x = 5

Answer 2

The solutions are x = 5 and y = 3

Given:

x + y = 8  

2x - y = 7​  

To find:

Solve x and y by elimination method

Solution:

To solve the equation eliminate any one of the variables by adding or subtracting the equations  

Here we have

x + y = 8 ---- (1)

2x - y = 7​ ---- (2)

Add (1) and (2)

=> x + y + 2x - y = 8 + 7

=> 3x = 15

Divide by 3 into both sides

=> 3x/3 = 15/3

=> x = 5

Now substitute x = 5 in Equation (1)

=> 5 + y = 8

Subtract 5 from both sides

=> 5 + y - 5 = 8 - 5

=> y = 3

Therefore,

The solutions are x = 5 and y = 3

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