Question 227714
-6-4y=-24  Equation A  (see Step 8 if you meant -6x-4y=-24)
2x+7y=13   Equation B


Step 1. Solve for y in Equation A {{{-6-4y=-24}}}.


Step 2.  Add 6 to both sides of the equation


{{{-6-4y+6=-24+6}}}


{{{-4y=-18}}}


Step 3.  Divide by -4 to both sides of the equation


{{{-4y/-4=-18/-4}}}


{{{y=18/4=9/2}}}


Step 4.  Now substitute {{{y=9/2}}} into {{{2x+7y=13}}}.


{{{2x+7*(9/2)=13}}}


{{{2x+63/2=26/2}}}


Step 5.  Subtract {{{63/2}}} from both sides of the equation


{{{2x+63/2-63/2=26/2-63/2}}}


{{{2x=-37/2}}}


Step 6.  Divide by 2 to both sides of the equation


{{{2x/2=-37/(2*2)}}}


{{{x=-37/4}}}


Step 7.  ANSWER:  {{{x=-37/4}}} and {{{y=9/2}}}


Step 8.  Now, I'll assume you meant to  solve the following linear system of equations


-6x-4y=-24  Equation A  
2x+7y=13   Equation B


*[invoke linear_substitution "x", "y", -6, -4, -24, 2, 7, 13 ]



I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV

















I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV