How do you solve the following linear system: #3x + 5y = -1, 2x − 5y = 16#?
Starting with the first equation, we need to make either x or y the subject (I chose x)
Now we simply substitute
Finally, we should also verify both answers by substituting both of them into the other equation again.
#3(3) + 5(-2) = -1
See a solution process below:
Step 1) First, solve each equation for
- Equation 1:
- Equation 2:
Step 2) Because both equations are equal on the left side we can now equate the right sides of the equation and solve for
Step 3) Substitute
The Solution Is:
Notice that the terms in
Add the equations together to eliminate the
Substitute in A:
Check in B:
The values are correct.