Question

Solve the simultaneous equations
4x + 3y = 20
4x + 2y = 14

Answer 1

Explanation:

`\underline{ \underline{ \text{Given}}} :`

• 
  `\tt{4x + 3y = 20........... \text{ equation \: ( \: i \: )}}`
• 
  `\tt{4x + 2y = 14.......... \text{equation \: (ii)}}`

`\underline{ \text{USE \: ELIMINATION \: METHOD}} :`

Subtract equation ( ii ) from equation ( i ) :

Remember that the sign of each term of the second expression changes i.e equation ( i ) now becomes -4x -3y = -20

`\tt{ \cancel{4x }+ 2y = 14}`

`\tt{ \cancel{ - 4x} - 3y = - 20}`

__________________

`\tt{ - y = - 6}`

⟿
`\tt{ \boxed{ \tt{y = 6}}}`

Again , Substituting the value of y in equation ( ii ) :

⟿
`\tt{4x + 2 * 6 = 14}`

⟿
`\tt{4x + 12 = 14}`

⟿
`\tt{4x = 2}`

⟿
`\boxed{ \tt{x = (1)/(2)}}`

`\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = (1)/(2 ) \: and \: y = 6}}}}`

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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