Question

solve. 2X+y=12and X+2y=9​

Answer 1

Answer:

$\mathtt{★SOLUTION:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\blue{2x + y = 12 ----- EQ(1)}$

$\mathtt\blue{ x + 2y = 9 ----- EQ (2)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{ MULTIPLY \: 2 × EQ(2)}$

$\mathtt \blue{ 2( x+2y = 9) }$

$\mathtt \blue{ 2x+4y = 18 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{NOW \: USE \: ELIMINATION \: METHOD}$

$\mathtt \blue{2x + y \: \: \: =12}$

$\mathtt \blue{ 2x+4y = 18 }$

$\mathtt{ - \: \: \: \: \: - \: \: \: \: \: \: \: \: \: - }$

$\mathtt \blue{ - 3y = - 6 }$

$\mathtt \blue{ y = \frac{ - 6}{ - 3} }$

$\fbox{ y = 2 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{IN \: EQUATION (2)}$

$\mathtt\blue{ x + 2y = 9 }$

$\mathtt\blue{ x + 2 \times 2 = 9 }$

$\mathtt\blue{ x + 4 = 9 }$

$\mathtt\blue{ x = 9 - 4 }$

$\fbox{ x = \: 5}$