Question

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

Answer 1

The answer is x=7 and y=3

Answer 2

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 ) :

$\sf{2x + 3y = 23}$

⟿ $\sf{2 \times 7 + 3y = 23}$

⟿ $\sf{14 + 3y = 23}$

⟿ $\sf{3y = 23 - 14}$

⟿ $\sf{3y = 9}$

⟿ $\sf{ \frac{3y}{3 } = \frac{9}{3}}$

⟿ $\boxed{ \sf{y = 3}}$

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

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

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

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