Mathematics
Mathematics
Problem
Solve the following system of equations using the *substitution* method: Verify by substituting your values into both equations above.Intuitive explanation
The substitution method works by isolating one variable in one equation, then plugging that expression into the other equation to eliminate it. Here, the first equation has with a coefficient of 1, making it the easiest to isolate—solve for in terms of , then substitute that expression into the second equation to find . Once you have , back-substitute to find , and check both values in the original equations.
Intuitive explanation
The substitution method works by isolating one variable in one equation, then plugging that expression into the other equation to eliminate it. Here, the first equation has with a coefficient of 1, making it the easiest to isolate—solve for in terms of , then substitute that expression into the second equation to find . Once you have , back-substitute to find , and check both values in the original equations.