Question

6x+3y=24
3x-3y=-6
Solve the system using elimination (explain steps)

Answer 1

(x,y)=(2,4)

Explanation:

`\left \{ {{6x+3y=24} \atop {3x-3y=-6}} \right.`

⇒ 9x=18 divide both sides of the equation by 9

⇒ x=2

then put x=2 into the equation 3x-3y=-6

⇒ 3×2-3y=-6

⇒ 6-3y=-6

⇒ -3y=-6-6

⇒ -3y=-12

⇒ y=4

(x,y)=(2,4)

⇒
`\left \{ {{6*2+3*4=24} \atop {3*2-3*4=-6}} \right.`

⇒
`\left \{ {{24=24} \atop {-6=-6}} \right.`

⇒ (x,y)=(2,4)