Use substitution to solve this system of the equations 2x-3y=-1 y=x-1

(x, y) = (4, 3)

Step-by-step explanation:

The second equation gives an expression for y that can be substituted into the first equation.

... 2x -3(x -1) = -1 . . . . put x-1 where y was

... -x +3 = -1  . . . . . . . simplify

... 4 = x . . . . . . . . . . . add x+1

Using that second equation, we can find y to be ...

... y = 4 -1 = 3

The solution is (x, y) = (4, 3).

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.