Asked by Sumeet Bhangu on Jul 22, 2024

Verified

Determine which of the ordered pairs is a solution of the equation. $x+6y−4=0$

A) $(2,61 )$

B) $(3,31 )$

C) $(1,31 )$

D) $(2,31 )$

E) $(1,61 )$

A) $(2,61 )$

B) $(3,31 )$

C) $(1,31 )$

D) $(2,31 )$

E) $(1,61 )$

Ordered Pairs

A pair of elements (x, y), representing coordinates on a Cartesian plane.

Equation

An assertion in mathematics indicating that two expressions, often incorporating variables, are equivalent.

- Solve linear equations and inequalities graphically and algebraically.

Verified Answer

AA

Amanda Acosta [STUDENT]

2 weeks ago

Final Answer :

D

Explanation :

Substitute x = 2 and y = 1/3 into the equation:

$2+6(31 )−4=0$

Simplifying the left side, we get:

$2+2−4=0$

So the ordered pair (2, 1/3) is a solution to the equation.

$2+6(31 )−4=0$

Simplifying the left side, we get:

$2+2−4=0$

So the ordered pair (2, 1/3) is a solution to the equation.

## Learning Objectives

- Solve linear equations and inequalities graphically and algebraically.