To solve y=2x−64 , x−2y=14 ,Using the substitution method.
Solution:
Given , y=2x-64
and x-2y=14
To solve the linear equation in two variables , substitute the value of one variable to solve the value of other variable.
Hence, Subsitute the value of [tex] y [/tex] in equation [tex] x-2y=14 [/tex]
[tex] x- 2(2x-64) = 14 [/tex]
[tex] x- 4x+128 = 14 \\ -3x =14-128\\-3x=-114\\ x =\frac{114}{3} \\ x=38 [/tex]
Now, Substitute the value of x=38 in equation y=2x-64
[tex] y= 2 (38)-64) \\ y= 76-64 \\ y= 12 [/tex]
Solution is (38,12)
