Use the elimination method to solve the system of equations. choose the correct ordered pair. 2y=x+2 x-3y=-5

The concept of solving a problem by elimination is to solve for one variable, by getting rid of the other.

Let's solve [2y = x + 2, x - 3y = -5] in terms of y.

Start by transforming the second equation into one of the same form as the first (y = x + c).

x-3y = -5

x = -5 + 3y

3y = x+5

Now we have two equations that are in the same form:

3y = x+5

2y = x+2

To solve in terms of y, we need to get rid of x -- so subtract the first equation from the second equation - this will yield the following:

y = 3 [[ 3y - 2y = y, x - x = 0, 5 - 2 = 3 ]]

Now take this information and solve for x:

2(3) = x+2

6 = x+2

x = 4

Now we have the solution, just make it a coordinate point:

(4, 3)

Apex Answer (4,3)

Step-by-step explanation:

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