Question

Find the value of y in the solution to the system of equations shown.
y= 12x+7
y=-6x+25

Answer 1

Alright well solve first the variable in one of the equations, then substitute the result into the other equation

Point form: (1, 19)

equation form: x = 1 and y = 19

Hope this helps have a nice day :)

Explanation:

Answer 2

Answer: The required value of y is 19.

Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

`y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Comparing equations (i) and (ii), we get

`12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=(18)/(18)\\\\\Rightarrow x=1.`

From equation (i), we get

`y=12*1+7=12+7=19.`

Thus, the required value of y is 19.