Question

Find the solution for linear equations 3x+4y+7=0 and 5x-7y-2=0

Answer 1

Step-by-step explanation:

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Answer 2

${\huge{\pink{\underline{\underline{Question}}}}}$

Find the solution of equation 3x+4y+7=0 and 5x-7y-2=0

${\huge{\pink{\underline{\underline{Answer}}}}}$

Lets Take ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{3x + 4y + 7 = 0}}}}}}}}}$ ───── ( 1 )

And next ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{5x - 7y - 2 = 0}}}}}}}}}$ ───── ( 2)

$\mathrm\blue{\:Multiple \:eq(1) \:with \:5 \:and \:eq(2) \:by \:3}$

➪ 5 ( 3x + 4y + 7 ) = 0 ────( from eq (1)

➪15x + 20y + 35= 0 ━━━━━━ ( 3)

➪3 ( 5x - 7y - 2 ) =0 ──── ( from eq (2)

➪ 15x - 21y - 6 = 0 ━━━━━━━ ( 4 )

EQUATE BOTH EQ (3) AND (4)

☞︎︎︎ 15x + 20y + 35

☞︎︎︎ 15x - 21y - 6

(-) ⠀(+) ⠀⠀(+) [ sign change ]

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➪⠀ ⠀41y + 41 = 0

➪ ⠀⠀ ⠀ 41y = - 41

➪ ⠀⠀ ⠀⠀y = $\cancel\frac{- 41}{41}$

➪ y = -1

Now equate y value in equation (1)

3x + 4y + 7 = 0

3x + 4(-1) + 7 = 0

3x - 4 + 7 = 0

3x + 3 = 0

3x = 0 - 3

3x = -3

x = $\cancel\frac{-3}{3}$

x = -1

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Value \:of \:x = -1 \:and \:y =-1}}}}}}}}}$