Solve the system of equations `a+2b=3` `a^2+b^2=26`

Expert Answers

An illustration of the letter 'A' in a speech bubbles



To solve, apply substitution method. To do so, solve for a in the first equation.




Then, plug-in this to the second equation.





Set one side equal to zero.



Then, factor.


Set each factor equal to zero and solve for b.

`5b-17=0`       and      ` b+1=0`

          `b=17/5`                     `b=-1`

Next, solve for a. To do so, plug-in the values of b to a=3-2b.

`b=-1, a=3-2(-1)=3+2=5`

`b=17/5, a=3-2(17/5)=3-34/5=15/5-34/5=-19/5`

Hence, the solutions to the system of equations are:

> `a=5` , `b=-1`

> `a=-19/5` 5,  `b =17/5`

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team