Final answer:
To solve the given system of linear equations using the substitution method, solve one equation for one variable and substitute it into the other equation.
Step-by-step explanation:
To solve the given system of equations using the substitution method, we start by solving one of the equations for one variable and substituting it into the other equation. Let's solve the first equation for x:
2x + 3y = 8
2x = 8 - 3y
x = (8 - 3y) / 2
Now, substitute this expression for x in the second equation:
4((8 - 3y) / 2) + 6y = 7
8 - 3y + 6y = 7
3y = 7 - 8
3y = -1
y = -1/3
Finally, substitute this value of y back into the expression for x:
x = (8 - 3(-1/3)) / 2
x = (8 + 1) / 2
x = 9 / 2
Therefore, the solution to the system of equations is x = 9/2 and y = -1/3.
Learn more about Solving systems of linear equations