Question 1154357
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<pre>

Subtract the first equation from the second equations.


In the left side, "y"s will cancel each other, and you will get an equation for single unknown x


    0 = -x - (2/3)x + 4 - (-1),   

or

    0 = {{{(-5/3)x + 5}}}.


Multiply both sides by 3 and simplify


    0 = -5x + 15

    5x = 15

     x = 15/5 = 3.


<U>ANSWER</U>.  x = 3;  y = -x + 4 = -3 + 4 = 1.


<U>CHECK</U>.  Make checking on your own, by substituting the found values to the original equations.
</pre>

Solved.


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About solving systems of linear equations with 2 unknowns by the Elimination or/and Substitution methods, see the lessons 

&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> 

in this site.



Also, &nbsp;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>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed (i.e. ALWAYS).