The value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.
We have to solve the given equations, 1/2x + 6y = 12 y = x + 15.
Equation; 1/2x + 6y = 12 and y = x + 15.
The given equations are solved by using the elimination method following all the steps given below.
The equations are,
[tex]\dfrac{1}{2}x + 6y = 12\\\\y = x+15[/tex]
Substitute the value of y in equation 1 from equation 2,
[tex]\dfrac{1}{2}x + 6(x+15) = 12\\\\\dfrac{1}{2}x + 6x + 90 = 12\\\\\dfrac{x+12x+180}{2} = 12\\\\13x + 181 = 12 \times 2\\\\13x + 181 = 24\\\\12x = 24-181\\\\12x = -157\\\\x = \dfrac{-157}{13}\\\\x = -12.07[/tex]
Substitute the value of x in equation 2,
[tex]y =- 12.07+15\\\\y = 3.07[/tex]
Hence, The required value of x is -12.07, and y is 3.07 for equation 1/2x + 6y = 12, y = x + 15.
To know more about the Elimination method click the link given below.
https://brainly.com/question/1148245
