Question 195096


Let's see if {{{x=5}}} and {{{y=2}}} are solutions to the first equation.



{{{3x-2y=11}}} Start with the first equation.



{{{3*(5)-2*(2)=11}}} Plug in {{{x=5}}} and {{{y=2}}}.



{{{15-4=11}}} Multiply



{{{11=11}}} Combine like terms.



Since the equation is <font size="4"><b>true</b></font>, this means that (5,2) is a solution to the first equation.



Let's see if (5,2) is a solution to the second equation.



{{{-x+6y=7}}} Start with the second equation.



{{{-(5)+6*(2)=7}}} Plug in {{{x=5}}} and {{{y=2}}}.



{{{-5+12=7}}} Multiply



{{{7=7}}} Combine like terms.



Since the equation is <font size="4"><b>true</b></font>, this means that (5,2) is also a solution to the second equation.



Since <font size="4"><b>all</b></font> of the equations of the system are true, this means that (5,2) is a solution to the given system.