Use the linear combination method to solve the system of equations. What is the solution to the system?
Answers
Answered by
1
Step-by-step explanation:
The substitution method requires you to rearrange one equation to isolate one of the unknowns, then substitute that expression into the other equation and solve.
2x - y = 6 has more steps involved in isolating one of the variables.
x + y = 6 can be rearranged to become x = 6 - y by subtracting y from each side.
Now, use the first equation and replace "x" with "6-y"
2( 6 - y ) - y = 6 becomes 12 - 2y - y = 6 or 12 - 3y = 6 or -3y = -6 by subtracting 12 from both sides.
Now divide both sides by -3 and you get y = +2
Put y =2 into either equation to find "x" x + y = 6 becomes x + 2 = 6 or x = 4
Therefore x = 4, y = 2
Similar questions