Asked by Sumeet Bhangu on Jul 22, 2024
Verified
Determine which of the ordered pairs is a solution of the equation. x+6y−4=0x + 6 y - 4 = 0x+6y−4=0
A) (2,16) \left( 2 , \frac { 1 } { 6 } \right) (2,61)
B) (3,13) \left( 3 , \frac { 1 } { 3 } \right) (3,31)
C) (1,13) \left( 1 , \frac { 1 } { 3 } \right) (1,31)
D) (2,13) \left( 2 , \frac { 1 } { 3 } \right) (2,31)
E) (1,16) \left( 1 , \frac { 1 } { 6 } \right) (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]Jul 24, 2024
Final Answer :
D
Explanation :
Substitute x = 2 and y = 1/3 into the equation:
2+6(13)−4=02 + 6\left(\frac{1}{3}\right) - 4 = 02+6(31)−4=0
Simplifying the left side, we get:
2+2−4=02 + 2 - 4 = 02+2−4=0
So the ordered pair (2, 1/3) is a solution to the equation.
2+6(13)−4=02 + 6\left(\frac{1}{3}\right) - 4 = 02+6(31)−4=0
Simplifying the left side, we get:
2+2−4=02 + 2 - 4 = 02+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.