Question

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

Answer 1

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

$y=\frac{1}{4}x+7 (1)\\y=\frac{1}{2}x+5 (2)$

To solve we follow the steps below:

Step 1:

We multiply the second equation by -1

$y=\frac{1}{4}x+7\\-y=-\frac{1}{2}x-5$

Step 2:

We add both equations

$y-y=\frac{1}{4}x-\frac{1}{2}x+7-5\\0=-\frac{1}{4}x+2$

Step 3:

We clear x:

$\frac{1}{4}x=2\\x=4*2\\x=8$

Step 4:

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

$y=\frac{1}{2}x+5\\y=\frac{1}{2}(8)+5\\y=4+5\\y=9$

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

Answer:

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

The y coordinate = 9

Option A

Answer 2

Answer:

9

Step-by-step explanation: