Question

At what value of x do the graphs of the equations below intersect? 2x – y = 6 5x + 10y = –10 x =

Answer 1

Answer:

x =2

Step-by-step explanation:

The given equations are

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

$5x+10y=-10.......(2)$

Solve the equation 1 for y

$y = 2x-6$

Plugging this in equation (2), we get

$5x +10(2x-6)=-10\\5x+20x-60=-10\\25x=50\\x=2$

Therefore, for x =2, graphs of the equations intersect.