Question

Use the elimination method to solve the system of equations. Choose the

Answer 1

Answer:

The answer is B.

Step-by-step explanation:

When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :

$7x + 4y = 39 - - - (1)$

$2x + 4y = 14 - - - (2)$

$(1) - (2)$

$7x + 4y - 2x - 4y = 39 - 14$

$5x = 25$

$x = 25 \div 5$

$x = 5$

Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :

$substitute \: x = 5 \: into \: (2)$

$2(5) + 4y = 14$

$10 + 4y = 14$

$4y = 14 - 10$

$4y = 4$

$y = 4 \div 4$

$y = 1$

Therefore, put your answer in coordinate form :

$x = 5 \\ y = 1$

$(5,1)$