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

User Adijo
by
5.8k points

1 Answer

1 vote

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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User JBarberU
by
6.9k points
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