Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2

The solution is the pair (-2, 5/3)

Step-by-step explanation:

The system of equations is:

y = (2/3)*x + 3

x = -2

When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)

In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:

y = (2/3)*(-2) + 3

y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3

y = 5/3

Then the solution of this system is

x = -2

y = 5/3

Which also can be represented with the ordered pair (-2, 5/3)

for the points

step-by-step explanation:

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