Which graph represents this system? 3x+2y=-6 y=-x+2 2
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the systems of equation:
3x + 2y = -6
y = -x + 2
Determine the graph of the system.
Solution:
Since we cannot possible determine the graph of the system, we can only locate its points. This can be done by substituting the 1st nequation to the value of y of second equation.
3x + 2y = -6
3x + 2 ( -x + 2 ) = - 6
3x - 2x + 4 = -6
Solve for x.
x + 4 = -6
Transpose 4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
x = -6 - 4
x = -10
substitute the value of x to the 2nd equation, and solve for y
y = - (-10) + 2
y = 10 + 2
y = 12
Final answer:
x = -10
y = 12