Question

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

7x + 4y = 39
2x + 4y = 14

Answer 1

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

2(5)+4y=14
4y=4
Y=1

Answer 2

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

$(7x+4y)-(2x+4y)=39-14\\\\\Rightarrow 5x=25\\\\\Rightarrow x=\dfrac{25}{5}\\\\\Rightarrow x=5.$

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

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

Therefore, x = 5  and  y = 1.

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