Question 985396


You have the system of two equations with two unknowns:


{{{system(2x - 3y =5,
3x - 2y = 20)}}}.


Multiply the first equation by 2 and the second equation by 3. You will get


{{{system(4x - 6y =10,
9x - 6y = 60)}}}.


Now distract the first equation from the second one. You will get


5x = 60 - 10,


5x = 50,


x = 10.


Next, substitute the found value of x into the first equation . . . . . .


Please complete it yourself.


You may want to look in my lessons on solving systems of linear equations in two unknowns in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A>, 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of the linear system of two equations in two unknowns by the Substitution method</A>, 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of the linear system of two equations in two unknowns by the Elimination method</A> &nbsp;and 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Solving-word-probs-using-linear-systems-of-two-eqns-with-two-unknowns.lesson>Solving word problems using linear systems of two equations in two unknowns</A>.