Answered

Lukas graphed the system of equations shown.

2x + 3y = 2
y = A system of equations. 2 x plus 3 y equals 2. y equals StartFraction one-half EndFraction x plus 3.x + 3

A coordinate grid with 2 lines. The first line passes through the points labeled (negative 2, 2), (0, 0.67) and (1, 0). The second line passes through the points labeled (negative 2, 2) and (0, 3).
What is the solution to the system of equations?



Answer :

The solution to the system of equations is A. (-2, 2)

How to calculate the value?

The system of equation was:

2x + 3y = 2 ..... i

y = 1/2x + 3 ...... ii

Substitute equation ii into i

2x + 3/2x + 9 = 2

Multiply through by 2.

7x + 18 = 4

7x = -14

Divide

x = 14/7

x = -2

Also, y = 1/2x + 3

y = 1/2(-2) + 3

y = -1 + 3

y = 2

Therefore, the solution to the system of equations is (-2, 2).

Learn more about equations on:

brainly.com/question/16324305

#SPJ1

Lukas graphed the system of equations shown. 2x + 3y = 2 y = A system of equations. 2 x plus 3 y equals 2. y equals StartFraction one-half EndFraction x plus 3.x + 3 A coordinate grid with 2 lines. The first line passes through the points labeled (negative 2, 2), (0, 0.67) and (1, 0). The second line passes through the points labeled (negative 2, 2) and (0, 3). What is the solution to the system of equations? (–2, 2) (0, 0.67) (0, 3) (1, 0)

Other Questions