Question 1065411
.
24x+2y=52 6x+3y=-36
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<pre>
24x + 2y =  52    (1)
 6x + 3y = -36    (2)

Divide the first equation by 2 (both sides).
Divide the second equation by 3 (both sides). You will get an equivalent system

12x + y =  26     (1')
2x  + y = -12     (2')

Now distract the second equation from the first one. 
In this way you eliminate "y" and get a single equation for x:

12x - 2x = 26 - (-12),

10x = 26 + 12 = 38  --->  x = {{{38/10}}} = 3.8.

Next, from (2') y = -12 - 2*3.8 = -19.6.

<U>Answer</U>. x = 3.8,  y = -19.6.
</pre>

</pre>

The method I applied here is called the Elimination method.


On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations 
in two unknowns see the lessons 

&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;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A> 

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Systems of two linear equations in two unknowns</U>".