y=4/7x+5/7
y=5/6x+5/7
solve the system of equations by using the substitution method

Question

y=4/7x+5/7
y=5/6x+5/7
solve the system of equations by using the substitution method

anonymous · Answer

for substitution you need to solve one of the equation for one of the variable, which they are already, so you can substitute 4/7x+5/7 for y in the second equation:
4/7x+5/7=5/6x+5/7
        -5/7            -5/7
-------------------
4/7x=5/6x
and the only way that two different values multiplied by the same number can equal the same thing, is when x=0

so plug the x value into one of the equations: y=5/6x+5/7 and you get that y=5/7