Question

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

Answer 1

Answer:

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 :)

Step-by-step 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

$12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.$

From equation (i), we get

$y=12\times1+7=12+7=19.$

Thus, the required value of y is 19.