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6x - 5y = 11
y = 7x + 21


Sagot :

Answer:

x= -4, y= -7

Step-by-step explanation:

First, label the 2 equations.

6x -5y= 11 -----(1)

y= 7x +21 -----(2)

Substitute (2) into (1) so that the first equation is only written in terms of x.

6x -5(7x +21)= 11

6x -5(7x) -5(21)= 11 (Expand)

6x -35x -105= 11

-29x= 11 +105 (Simplify, +105 on both sides)

-29x= 116

x= 116 ÷(-29)

x= -4

Substitute x= -4 into (2):

y= 7(-4) +21

y= -28 +21

y= -7