Question

Solve the system using the elimination method. Write the solution as an ordered pair.

3x + 2y = 22
−x + 4y = 2

Answer 1

To solve the system using the elimination method, you can add the two equations together to eliminate one of the variables.

First, we'll add the equations:

(3x + 2y) + (-x + 4y) = 22 + 2
(2x + 6y) = 24

Then, we can solve for x:

2x = 24 - 6y
x = 4 - (3/2)y

We can substitute this expression for x back into either of the original equations to solve for y:

3(4 - (3/2)y) + 2y = 22
12 - 3y + 2y = 22
-y = 10
y = -10

Finally, we can substitute this value for y back into the expression we derived for x to find the value of x:

x = 4 - (3/2)(-10)
x = 4 + 15
x = 19

So, the solution to the system is (19, -10). This can be written as an ordered pair: (19, -10).

Answer 2

The solution of the given system of equation is (6, 2)

Explanation:

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