Please explain solution

M<GEF=30

M<DEF=40

Step-by-step explanation:

First you want to solve for x. to do that you put both of the equations together and make it equal to 70 since M<GED=70. so you would get 2x+10+5x-10=70.

when you solve that you get x=10. next you substitute x with 10 in the other equations to solve for the unknown measure angle. So M<GEF=2(10)+10 and M<DEF=5(10)-10. When you solve that you get M<GEF=30 and M<DEF=40. you can check this by adding them together and they add up to 70 which is the M<=GED.

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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