Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \underline{ \text{USE \: ELIMINATION \: METHOD}} : [/tex]
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
[tex] \tt{ \cancel{4x }+ 2y = 14}[/tex]
[tex] \tt{ \cancel{ - 4x} - 3y = - 20} [/tex]
__________________
[tex] \tt{ - y = - 6}[/tex]
⟿ [tex] \tt{ \boxed{ \tt{y = 6}}}[/tex]
Again , Substituting the value of y in equation ( ii ) :
⟿ [tex] \tt{4x + 2 \times 6 = 14}[/tex]
⟿ [tex] \tt{4x + 12 = 14}[/tex]
⟿ [tex] \tt{4x = 2}[/tex]
⟿ [tex] \boxed{ \tt{x = \frac{1}{2}}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{1}{2 } \: and \: y = 6}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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