Question

Choose the pair of equations which satisfies the point (1, -1).

• A. $4x–y=3,4x+y=3$
• B. $2x+3y=5,2x+y=-1$
• C. $4x+y=3,3x+2y=1$
• D. $2x+y=3,2x–y=1$

Answer 1

The correct option is C

$4x+y=3,3x+2y=1$

The point that satisfies an equation is known as the solution to that pair of equations.

(a) $4x–y=3,4x+y=3$
Plugging x = 1 and y = -1
$4+1=3,4-1=3$
$5=3,3=3$
Point (1, -1) does not satisfy this pair of equations.

(b) $2x+3y=5,2x+y=-1$
Plugging x = 1 and y = -1
$2-3=5,2-1=-1$
$-1=5,1=-1$
Point (1, -1) does not satisfy this pair of equations.

(c) $4x+y=3,3x+2y=1$
Plugging x = 1 and y = -1
$4-1=3,3-2=1$
$3=3,1=1$
Point (1, -1) satisfies this pair of equations.

(d) $2x+y=3,2x–y=1$
Plugging x = 1 and y = -1
$2-1=3,2+1=1$
$1=3,3=3$
Point (1, -1) does not satisfy this pair of equations.

$\therefore$ The given point (1, -1) satisfies the pair of equations $4x+y=3,3x+2y=1$.