Write the equation 2y − 4x = 5 in the form y = mx + b.

Hello from MrBillDoesMath!

y = 2x + 2.5

Discussion:

2y -4x = 5                        => add 4x to both sides

2y - 4x + 4x = 4x + 5        => -4x + 4x = 0

2y = 4x + 5                      => divide both sides by 2

y = 2x + (5/2)                   => as 5/2 = 2.5

y = 2x + 2/5

Thank you,

MrB

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions