Question

Solve
.
simultaneous equation.
9-(x-4)=y+7
2 (x+y) =4-3y​

Answer 1

$\huge{\underline{\underline{\red{Answer}}}}$

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$\mathbb{\boxed{\green{GIVEN\:EQUATIONS-}}}$

• 9-(x-4)=y+7
• 2(x+y)=4-3y

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$\bf{\Large{\underline{\red{SOLUTION}}}}$

9-(x-4)=y+7

or, 9-x+4=y+7

or, 13-7=y+x

${\underline{\bold{or,\:6=x+y}}}$

Thus ${\underline{\pink{x=6-y----i}}}$

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2(x+y)=4-3y

or, 2x+2y=4-3y

or, 2x +2y+3y=4

${\underline{\pink{2x+5y=4------ii}}}$

Putting value of x from i in equation ii,

2x+5y=4

or, 2(6-y)+5y=4

or, 12-2y+5y=4

or, 12+3y=4

or, 3y= 4-12

or, 3y= (-8)

$y = \frac{ - 8}{3}$

$\large{\boxed{\red{y=(-8)/3}}}$

x=6-y

$x = 6 - \frac{ - 8}{3} \\ = > x = \frac{26}{3}$

$\large{\boxed{\red{x=26/3}}}$