If -2x+3=7 and 3x+1=5+y, what is the value of y?

y = -10

Step-by-step explanation:

To solve this, you must find the value of x first. To do this you must move the first equation so that x is by itself.

-2x + 3 = 7

Subtract 3 from both sides:

-2x = 4

Divide both sides by -2:

x = -2

Now plug in -2 for x into the second equation, like so:

3x + 1 = 5 + y

3(-2) + 1 = 5 + y

-6 + 1 = 5 + y

Add like terms:

-5 = 5 + y

Subtract 5 from both sides:

-10 = y

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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step-by-step explanation: