Asystem of equations has definitely many solutions. if 2y-4x=6 is one of the equations, which could be the other equation?

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of Coincident lines.

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: