Question

Solve the system of linear equations by substitution. $\frac{1}{3}x+y=-1$ $\frac{1}{3}x+8y=13$

Answer 1

The system of linear equations is solved by substitution, where x is found to be -9 and y is determined to be 2. We begin by isolating y in the first equation, substituting it into the second, and solving for x. Then, we substitute x back into the first equation to find y.

Step-by-step explanation:

To solve the system of linear equations by substitution, we first isolate one variable in one of the equations and then substitute its expression into the other equation. For the given equations:

Let's solve the first equation for y:

y = -

Now, we substitute this expression for y into the second equation:

By simplifying, we find the value of x:

-

x = -9

After finding x, we substitute it back into the expression for y:

y = -

y = 3 - 1

y = 2

So, the solution to the system of equations is x = -9 and y = 2.