Question

Choose the correct answer:
is the ordered pair that satisfies the given equation: $\text{3x}-\text{y}=8$

• A. $(3,1)$
• B. $(3,-1)$
• C. $(-4,4)$
• D. $(4,-4)$

Answer 1

The correct option is A $(3,1)$

Given equation is:
$3x-y=8$
Put $x=3,y=1$ in $3x-y=8,$
$3\times 3-1=8$
$9-1=8$
$8=8$
The equation is satisfied by the given point $(3,1)$

Put $x=3,y=-1$ in $3x-y=8,$
$3\times 3+1=8$
$9+1=8$
$10\ne 8$
The equation is not satisfied by the given point $(3,-1)$

Put $x=-4,y=4$ in $3x-y=8,$
$3\times -4-4=8$
$-12-4=8$
$-16\ne 8$
The equation is not satisfied by the given point $(-4,4)$

Put $x=4,y=-4$ in $3x-y=8,$
$3\times 4+4=8$
$12+4=8$
$16\ne 8$
The equation is not satisfied by the given point $(4,-4)$