Question

Y=1/4 x+7 y=1/2x+5 the why coordinate of the solution to the system shown is

A.9
B.11 1/2
C. 19

Answer 1

9

Explanation:

Answer 2

For this case we have a system of two equations with two unknowns, represented by x and y respectively.

`y=(1)/(4)x+7 (1)\\y=(1)/(2)x+5 (2)`

To solve we follow the steps below:

Step 1:

We multiply the second equation by -1

`y=(1)/(4)x+7\\-y=-(1)/(2)x-5`

Step 2:

We add both equations

`y-y=(1)/(4)x-(1)/(2)x+7-5\\0=-(1)/(4)x+2`

Step 3:

We clear x:

`(1)/(4)x=2\\x=4*2\\x=8`

Step 4:

We substitute "x" in any of the equations and clear "y":

`y=(1)/(2)x+5\\y=(1)/(2)(8)+5\\y=4+5\\y=9`

Thus, the solution of the system is given by:
`(x, y) = (8,9)`

Answer:

`(x, y) = (8,9)`

The y coordinate = 9

Option A