|x+3|=2 1/4
what is X

x = -3/4                       x = -5 1/4

Step-by-step explanation:

|x+3|=2 1/4

When we have an absolute value equation we have two solutions one positive and one negative.

x+3 = 2 1/4     and x+3=-2 1/4

Subtract 3 from each side

x+3-3 = 2 1/4 -3      x+3-3 = -2 1/4 -3

x = -3/4                       x = -5 1/4

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

70.30

step-by-step explanation: