Find the length of PM.

Your answer is 7

Step-by-step explanation:

The two lines are the same length, so set the lengths equal to each other.

5x-3=11-2x

add 2x

7x-3=11

add 3

7x=14

divide by 7

x=2

Then you just plug x in

5(2)-3

multiplication first

10-3

subtraction

7

That is your answer

length of PM=7

Step-by-step explanation:

here,

PM and QM are equal .so,

5x-3=11-2x

5x+2x=11+3

7x=14

x=14/7

x=2

now substituting the vale of

5x-3

5*2-3

10-3

7

ok

step-by-step explanation:

(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