Activity B (continued from previous page) 3. Consider the system of equations y = -x + 3 and y = 4x+8.
A. Use the substitution method to find the solution
of this system. Show your work to the right.
B. What is the solution of this system? CI

A. (see Step-by-step explanation)

B. (-1, 4)

Step-by-step explanation:

Since both functions are equal to y, we can set them equal to each other.

-x + 3 = 4x + 8

Add the x to both sides (because it is negative on the left) and subtract the 8 from both sides (because it is positive on the right and we need to isolate the variable).

-5 = 5x

Divide both sides by 5 (because it is being multiplied to the x) to isolate x.

x = -1

Next, to solve for y, we can plug in -1 for x in either equation from the beginning.

y = -(-1) + 3

y = 1 + 3

y = 4

the line of

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17