Solve each system by the substitution method .Indicate whether each system is independent, inconsistent, or dependent.
1) 3y=x+5
2x-2y= -10
2) x=1/8y-1
y= 1/4x+39
Hello,
you have $\displaystyle x=\frac{1}{8}y-1$. Substitute the x in the 2nd equation:
$\displaystyle y=\frac{1}{4} \cdot \left( \frac{1}{8}y-1 \right) +39$. Expand the RHS of this equation:
$\displaystyle y=\frac{1}{32}y-\frac{1}{4} +39$. This will give:
$\displaystyle \frac{31}{32}y=\frac{155}{4}$. Solve for y. I've got y = 40. Re-substitute this value in equation#1. I got x = 4.
There is only this solution.
EB