Question

Use the elimination option o solve the system x-y=5 and x+y=3

Answer 1

• x = 4
• y = - 1

Explanation:

Solve the system by elimination

`\sf x - y = 5 ........(equation \: 1)`

`\sf x + y = 3 .......(equation \: 2)`

Add equation 1 and equation 2

`\sf 2x = 8`

Divide both sides by 2 ,

`\sf x = 4`

Substitute value of x in Equation 2

`\sf 4 + y = 3`

`\sf y = 3 - 4`

`\sf y = -1`

Therefore,

• x = 4
• y = - 1

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