Question

For which independent value do the equations generate the same dependent value?

y 1= 6x - 16
y2 = 3x - 10

A: 2
B: 3
C: -2
D: None

Please select the best answer from the choices provided.​

Answer 1

For the independent value of 2, the equations generate the same dependent value ⇒ A

Explanation:

In the linear equation y = m x + b

• x is the independent variable

• y is the dependent variable

∵ y1 = 6x - 16

∵ y2 = 3x - 10

∵ x is the independent value

∵ y is the dependent value

∵ The two equations have same dependent value

→ Same dependent value means equate y1 and y2

∴ y1 = y2

→ Equate their right sides

∴ 6x - 16 = 3x - 10

→ Subtract 3x from both sides

∵ 6x - 3x - 16 = 3x - 3x - 10

∴ 3x - 16 = -10

→ Add 16 to both sides

∵ 3x - 16 + 16 = -10 + 16

∴ 3x = 6

→ Divide both sides by 3

∴ x = 2

∴ For the independent value of 2 the equations generate the same

dependent value