Question

Solve : 3x + 4y = 16 ; 2x + 3y = 10​

Answer 1

${\bold{\sf{3x+4y=16\:;}}}$ ${\bold{\sf{2x+3y=10}}}$

.

${\bold{\sf{3x+4y=16}}}$${\bold{\sf{→Multiply\: by \:2}}}$

${\bold{\sf{2x+3y=10}}}$${\bold{\sf{→Multiply\: by \:3}}}$

.

${\bold{\sf{6x+8y=32}}}$

${\bold{\sf{6x+9y=30}}}$

_________________

${\bold{\sf{0-y=2}}}$${\bold{\sf{→y=-2}}}$

${\bold{\sf{2x+3(-2)=10}}}$${\bold{\sf{→x=8}}}$

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${\bold{\red{\sf{→(x,y)=(8,-2)}}}}$

Answer 2

Step-by-step explanation:

• 3x+4y=16..............(i)eqn
• 2x+3y=10..............(ii)eqn
• then , x=16-4y/3
• since, we substitute the valu of x in eqn (ii)
• hence,

2x+3y=10

2*16-4y/3 +3y=10

Anwer___ y=2

x=2