Solve the given system using your choice of either graphically or algebraically. Show and explain all work. y + 2x = 2 y + 2 = 2x

x = 1 and y = 0

Step-by-step explanation:

Given equations are :

y + 2x = 2  (1)

y + 2 = 2x

or

y - 2x = -2 ...(2)

Add equation (1) and (2), we get :

y + 2x + y - 2x = 2 + (-2)

2y = 0

y = 0

Put the value of y in equation (1).

0 + 2x = 2

x = 1

Hence, the solution of the given equations are x = 1 and y = 0.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3