Question

Use the elimination method to solve the system of equations.2x + 3y = 183x – 3y = 12

Answer 1

Answer:

The solution would be (6, 2)

Step-by-step explanation:

In order to solve this using elimination, simply add the two equations together.

2x + 3y = 18

3x - 3y = 12

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5x = 30

x = 6

And now that we have the value for x, we can solve for y.

2x + 3y = 18

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

Answer 2

Answer:

Solution of the given system of equations is x = 6 and y = 2

Step-by-step explanation:

In the given system equations are

2x + 3y = 18 -------(1)

3x - 3y = 12 --------(2)

We add equation 1 and 2 to get the value of x

(2x + 3y) + (3x - 3y) = 18 + 12

2x + 3x + 3y - 3y = 30

5x = 30

x = $\frac{30}{5}=6$

Now we put the value of x in equation 1.

2(6) + 3y = 18

12 + 3y = 18

3y = 18 - 12

3y = 6

y = 2

Therefore, solution of the given system of equations is x = 6 and y = 2