IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng eksaktong sagot. Alamin ang mga detalyadong sagot mula sa mga bihasang miyembro ng aming komunidad na sumasaklaw sa iba't ibang paksa para sa lahat ng iyong pangangailangan.

Use all method of systems of linear equations:
4x-5y=-8
-x+3y=2


Sagot :

Using elimination method:
4x - 5y = -8  ----equation 1
-x + 3y = 2 -----equation 2
multiply equation 2 with 4
(-x + 3y = 2) x 4
-4x + 12y = 8 ----equation 2'
add equations 2' and 1
   -4x + 12y = 8
+  4x  -  5y = -8
             7y = 0
              y =0
multiply equation 1 with 3 and equation 2 with 5
(4x - 5y = -8) x 3
(-x + 3y = 2) x 5
12x -15y = -24
-5x +15y= 10
add both equations
7x = -14
x = -2

Using substitution method:
4x - 5y = -8  ----equation 1
-x + 3y = 2 -----equation 2
rearranging equation 2 you'll have:
-x + 3y = 2
x = 3y -2 ----equation 3
substitute equation 3 to equation 1
4x - 5y = -8
4(3y - 2) - 5y = -8
12y - 8 - 5y = -8
7y = -8 + 8
7y = 0
 y = 0
substituting the value of y to equation 3 you'll have
x = 3y - 2
x = 3(0) - 2
x = -2