steps on how to solve xy1 and y2x7Solution1 Rewrite the equa

steps on how to solve x+y=-1 and y=2x-7

Solution

1. Re-write the equations and define them:
Equation 1: x+y=1
Equation 2: y=2x-7
2. Use the substitution method. Substitute \"equation 2\" into \"equation 1\" for the \"y\" value in \"equation 1\" to solve for \"x\":
x+y=1
x+(2x-7)=1 Distribute the coefficient outside of the parenthesis, it this case, it\'s a \"1\"
x+2x-7=1 Combine like terms...
3x-7=1 Add \"7\" to both sides...
3x=8 Divide by \"3\" to isolate \"x\"...
x=8/3
3. Substitute the solution for \"x\" into \"equation 2\" and solve for \"y\":
y=2x-7
y=2(8/3)-7 Order of operations. Work with the parenthesis first...
y=(16/3)-7 To subtract fractions, find a common denominator (3) and multiply this by 7...
y=(16/3)-(21/3) Subtract the numerators (tops) of the fractions...
y=-5/3
4. Your solutions are x=8/3 and y=-5/3 Make sure to plug these back into the original equations to double-check your work.