What is the value of x in the solution to the following system of equations?

x − 2y = 2
3x + y = 6

Question

What is the value of x in the solution to the following system of equations?

x − 2y = 2
3x + y = 6

anonymous · Answer

The first equation can be turned into x=2+2y so then substitute 2+2y into the second equation and solve.

anonymous · Answer

so 3(2+2y)=6-y?

wach · Answer

An easy way to find x is to completely eliminate y using systems of equations. Is there any way to manipulate the equations so that when added, y is eliminated?

amistre64 · Answer

flow, your substitution is fine

campbell_st · Answer

to eliminate y

double the 2nd equation and add to the 1st eauation

       x -  2y = 2
      6x + 2y = 12
----------------------
      7x = 14

solve for x


then substitute to find y

amistre64 · Answer

but to find "x", you want to define y(x) for a sunstitution

amistre64 · Answer

x − 2y = 2
3x + y = 6  <-- simpler to use

y(x) = 6-3x

x − 2y(x) = 2

x − 2(6-3x) = 2