Plz Help Me

A system of two equations is shown.
2 + 2y = 6
2x - 3y = 26
What is the solution of the system?
0 (-2,3)
(1, -2)
O (-2.4)
(10.-2)

Respuesta :

Answer:

The solution to the system of equations be:

(x, y) = (16, 2)

Step-by-step explanation:

Given the system of equations

2 + 2y = 6

2x - 3y = 26

Isolate y for 2+2y=6

2+2y=6

subtract 2 from both sides

2+2y-2 = 6-2

2y = 4

divide both sides by 2

2y/2 = 4/2

y = 2

now substitute y = 2 in 2x - 3y = 26

2x - 3y = 26

2x - 3(2) = 26

2x-6=26

add 6 to both sides

2x-6+6=26+6

2x = 32

divide both sides by 2

2x/2 = 32/2

x = 16

Therefore, the solution to the system of equations be:

(x, y) = (16, 2)

Note: It seems you may have missed adding the correct option in your answer choices.