Ateacher wrote the equation 3y + 12 = 6x on the board. for what value of b would the additional equation 2y = 4x + b form a system of linear equations with infinitely many solutions?
b = –8
b = –4
b = 2
b = 6

First option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept

We need to write each equation in Slope-Intercept form:

First equation

Second equation

Since, by definition, a system of linear equations has infinitely many solutions when the lines are the same, we can say that:

Then, solving for "b", we get:

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.