Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x? x = y w + y minus 1 x = 2 y w + y minus 1 x = 2 y w + y minus 2 x = 4 y w + 2 y minus 2

x=2yw+y-1

Step-by-step explanation:

(2x+2)/y=4w+2 factorization by 2 both sides

2(x+1)/y=2(2w+1) Divide by 2 both sides

(x+1)/y=2w+1multiply by y both sides

x+1=(2w+1)y eliminate the () by multiply y and 2w+1

x+1=2wy+y add -1 both sides

x=2wy+y-1

the answer is b

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