The solution of the system of the equation will be (-1.4, 1.6). Then the correct option is E.
The complete question is given below.
Lukas graphed the system of equations shown.
2x + 3y = 2, y = x + 3
What is the solution to the system of equations?
(–2, 2), (0, 0.67), (0, 3), (1, 0), (-1.4, 1.6)
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
2x + 3y = 2 ...1
y = x + 3 ...2
Put equation 2 in 1 equation, then we have
2x + 3(x + 3) = 2
5x + 9 = 2
x = -7 / 5
x = -1.4
Then the value of y will be
y = -1.4 + 3
y = 1.6
Then the solution of the system of the equation will be (-1.4, 1.6). Then the correct option is E.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1