Y=2 (3) ²

y=2/3x - 4

solve this system of equations

(33,-260)

Step-by-step explanation:

y=2 (3) ² ... equation (1)

y=2/3x - 4 ... equation (2)

put equation (1) to equation (2)

2 (3) ² = 2/3x - 4

2 (9) = 2/3x - 4

18 = 2/3x - 4

add 4 to both sides

18+4 = 2/3 x - 4 + 4

22 = 2/3x

multiply via by 3

22*3 = 2/3x * 3

66 = 2x

divide both sides by 2

66/2 = 2x/2

33 = x

x=33

solve for y

to solve for y, put x in equation (2)

y=2/3x - 4

y = 2/3 (33) - 4

y = 2/66 - 4

find the LCM of 66 and 1

the LCM is 66

multiply by their LCM

y = (2/66) 66-4*66

y = 2 - 264

y = - 260

solution = (33,-260)