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16 votes
16 votes
Solve by substitution (show work pls)
y= 2x-2
-3x+4y=-23

User Wouter Coebergh
by
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1 Answer

20 votes
20 votes

Answer:

x = -3 y = -8 (-3,-8)

Explanation:

first you would subsitute the y with (2x-2) in -3x+4y=-23 as y=2x-2

giving you-3x+4(2x-2)=-23

next you distribute the 4 to (2x-2) leaving you with -3x+8x-8=-23

then add -3x+8x to get 5x, having 5x-8=-23

add 8 to both sides canceling out 8 on one side and adding 8 to the other leaving you with 5x=-15 then you divide 5 from 5x to both sides leaving you with x = -3

next is y since you have x you would substitute the x in y=2x-2 with -3 getting y=2(-3)-2 then you multiply the 2 and -3 so you have y=-6-2 then you subtract those getting y = -8