What solution is y = 2x + 2 y = -2x + 4 ?

x = , y = 3

Step-by-step explanation:

y = 2x + 2 → (1)

y = - 2x + 4 → (2)

Substitute y = 2x + 2 into (2)

2x + 2 = - 2x + 4 ( add 2x to both sides )

4x + 2 = 4 ( subtract 2 from both sides )

4x = 2 ( divide both sides by 4 )

x = =

Substitute this value into (1) for value of y

y = 2( ) + 2 = 1 + 2 = 3

(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

a is the correct