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

3x + 2y = 22
−x + 4y = 2

Solve the system using the elimination method. Write the solution as an ordered pair-example-1
User L Co
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2 Answers

15 votes
15 votes
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).
User Rahul Gandhi
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12 votes
12 votes

Answer:

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

Explanation:

I really hope this helps, have a great day!

User Gayan Jayasingha
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