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KengaRu [80]
3 years ago
9

Solve the simultaneous equations 4x-3y=19 and 2x+3y=23​

Mathematics
2 answers:
kogti [31]3 years ago
6 0
The answer is x=7 and y=3

IRINA_888 [86]3 years ago
3 0

Step-by-step explanation:

\underline{ \underline{ \text{Solution}}} :

\sf{4x - 3y = 19} ••••• equation ( i )

\sf{2x + 3y = 23} ••••• equation ( ii )

The coefficients of y are the same in both equation but the sign of 3y of equation ( i ) differs from the equation ( ii ). So , we add one equation from the other to eliminate 3y.

Adding equation ( i ) and ( ii ) , we get :

\sf{4x  \:  \cancel{ - 3y}} = 19

\sf{2x  \: \cancel{  \: + 3y}} = 23

_________________

\sf{6x  \:  \:  \: \:  \:  =  \:  \:  \:  42 }

Solve for x :

⟿ \sf{ \frac{6x}{6}  =  \frac{42}{6}}

⟿ \boxed{ \sf{x = 7}}

Now , substituting the value of x in equation ( ii ) , we get ( Remember : you can substitute the value of x in any of the equation ) :

\sf{2x + 3y = 23}

⟿ \sf{2 \times 7  + 3y = 23}

⟿ \sf{14 + 3y = 23}

⟿ \sf{3y = 23 - 14}

⟿ \sf{3y = 9}

⟿ \sf{ \frac{3y}{3 }  =  \frac{9}{3}}

⟿ \boxed{ \sf{y = 3}}

\red{ \boxed{\boxed{ \tt{☥ \: Our \:final \: answer :x = 7 \: and \: y = 3}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑\underline{ \underline{ \sf{learn \: more }}}:

brainly.com/question/20487855?exp=27-1

Hope I helped ! ツ

Have a wonderful day / night ♡

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