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Use the elimination method to solve the system of equations

Use the elimination method to solve the system of equations-example-1
User Shenee
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2 Answers

4 votes

Answer:

D- (3, 1).

Step-by-step explanation: Add the first equation so you can figure out what x equals. Then, plug the value into your next equation in order to find y. Hope this helps. :)

User Sourabrt
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For this case we have the following system of equations:


2x + 4y = 10\\3x-4y = 5

We solve by the method of elimination, then:

We add both equations:


2x + 3x = 10 + 5\\5x = 15\\x = \frac {15} {5}\\x = 3

We find the value of y:


3 (3) -4y = 5\\9-4y = 5\\9-5 = 4y\\4 = 4y\\y = \frac {4} {4}\\y = 1

Answer:

(3,1)

Option D

User Hawk Kroeger
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