Question 1053287
Given {{{system(-2X+Y=3,X-3Y=-7)}}} , you realize that it is a system of linear equations and find the ordered pair of values (X,Y) that satisfies both equations.
This system of equations is easy to solve by substitution,
meaning solving{{{-2X+Y=3}}} for {{{Y}}} ,
and substituting the expression found for {{{Y}}} in the other equation:
{{{system(-2X+Y=3,X-3Y=-7)}}}-->{{{system(Y=2X+3,X-3Y=-7)}}}-->{{{system(Y=2X+3,X-3(2X+3)=-7)}}}-->{{{system(Y=2X+3,X-6X-9)=-7)}}}-->{{{system(Y=2X+3,-5X-9=-7)}}}-->{{{system(Y=2X+3,-5X=-7+9)}}}-->{{{system(Y=2X+3,-5X=2)}}}-->{{{system(Y=2X+3,X=2/(-5))}}}-->{{{system(Y=2X+3,X=-2/5)}}}-->{{{system(Y=2(-2/5)+3,X=-2/5)}}}-->{{{system(Y=-4/5+3,X=-2/5)}}}-->{{{highlight(system(Y=11/5,X=-2/5))}}}