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Use the elimination method to solve the system of equations. Choose the correct ordered pair. 

7x + 4y = 39
2x + 4y = 14

Use the elimination method to solve the system of equations. Choose the correct ordered-example-1

2 Answers

6 votes
Letter B
7x+4y=39
-2x-4y=-14
-—————-
5x=25
X=5

2(5)+4y=14
4y=4
Y=1
User Rodriguez
by
8.4k points
3 votes

Answer: The required solution is (x, y) = (5, 1).

Step-by-step explanation: The given system of equations is


7x+4y=39~~~~~~~~~~~~~(i)\\2x+4y=14~~~~~~~~~~~~~(ii)

We are to solve the above system of equation by elimination method.

Subtracting equation (ii) from equation (i), we have


(7x+4y)-(2x+4y)=39-14\\\\\Rightarrow 5x=25\\\\\Rightarrow x=(25)/(5)\\\\\Rightarrow x=5.

Substituting the value of 'x' in equation (ii), we have


2* 5+4y=14\\\\\Rightarrow 10+4y=14\\\\\Rightarrow 4y=4\\\\\Rightarrow y=1.

Therefore, x = 5 and y = 1.

Thus, the required solution is (x, y) = (5, 1).

User JC Brand
by
8.2k points

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