Exercise 1 Page 375

When solving a system of equations using substitution, there are three steps to follow.

1. Isolate a variable in one of the equations.
2. Substitute the expression for that variable into the other equation and solve.
3. Substitute this solution into one of the equations and solve for the value of the other variable.

For this exercise, x is already isolated in one equation, so we can skip straight to solving!

Now, to find the value of x, we need to substitute y= 7011 into either one of the equations in the given system. Let's use the first equation.

The solution to this system of equations is the point ( 28011, 7011). We can also rewrite these solutions as mixed numbers.

Checking Our Answer

To check our answer, we will substitute our solution into both equations. If doing so results in true statements, then our solution is correct.

Because both equations are true statements, we know that our solution is correct.