Question

Solve the system of equation and choose the correct ordered pair.!2x-6y=8 5x-4y=31

Answer 1

Answer:

The correct ordered pair is (7,1)

Step-by-step explanation:

The given system has equations:

$2x - 6y = 8....(1)$

$5x- 4y = 31....(2)$

We make x the subject in the first equation to get:

$x = 4 + 3y...(3)$

Put equation 3 into equation 2 to get:

$5(4 + 3y) - 4y = 31$

Expand:

$20 + 15y - 4y = 31$

$15y - 4y = 31 - 20$

$11y = 11$

$y = 1$

Put y=1 into equation 3 and solve for x.

$x = 4 + 3( 1) = 7$

The correct ordered pair is (7,1)