Alright, 7x + 6y = 12 -2x + y = 21 HELP PRETTY PLEASE?

7x + 6y = 12
-2x + y = 21 ..... ⇒ y = 21 + 2x

7x + 6 (21 + 2x) = 12
19x = -114
x = -6
y = 21 + 2(-6) = 9

Answer: (-6,9)

7x+6y=12
-2x+y=21
multiply 1st equation by 1 and the second by 6
7x+6y=12
-12x+6y=126
so add -sign
then it becomes
19x+o= -114
then the value of x is -6
substitute the value of x in the second equ
-2*-6+y=21
12+y=21
y=21-12
y=9
then verify your answer by substituting the value of x and y
-2*-6+9=21
12+9=21
21=21
therefore your values of x and y are correct

7 x + 6 ( 21 + 2 x ) = 12

7 x + 126 + 12 x = 12

19 x = - 114

x = - 6

y = 21 + 2 x

y = 21 - 12

y = 9

x = - 6 , y = 9

think you should be able to solve simultaneously. Would be nice if you separated the equations.... it looked like one big single equation!

7x + 6y = 12
-2x + y = 21 (multiply by 6 & change signs)

7x + 6y = 12
+12x -6y = -126
---------------------------
19x = -114

x = -114/19
x = -6
7x + 6y = 12
6y = 12 - 7(-6)
6y = 12 + 42
6y = 54
y = 9

x = -6; y=9 (is that the answer you're looking for??)

7x + 6y = 12 -2x + y = 21

Rewrite as
7x + 6y = 12
-2x + y = 21

Multiply the bottom equation by -6 and then add the two
7x + 6y = 12
12x -6y = -126
---------------------
19x = -114
x = -6

-2*(-6) + y = 21
12 + y = 21
y = 9

x,y = -6,9

Solve by using substitution.

7x + 6y = 12
-2x + y = 21

-2x + y = 21
y = (2x + 21) ...... (1)

7x + 6y = 12

Substitute (1) for y.
7x + 6(2x + 21) = 12
7x + 6(2x) + 6(21) = 12
7x + 12x + 126 = 12
19x = 12 - 126
19x = -114
x = -114/19
x = -6

-2x + y = 21

Substitute -6 for x.
-2(-6) + y = 21
12 + y = 21
y = 21 - 12
y = 9

∴ x = -6, y = 9

Wow, this can be very easy if you use substitution.

-2x+y=21 is the same thing as y=2x+21 (i added 2x to both sides)
With that info we can make this equation:

7x+6(2x+21)=12
Simplify
7x+12x+126=12
19x=-114

x=-6

Next, plug it in to the original equation

7(-6)+6y=12
-42+6y=12
6y=54 (added 42 to both sides)

y=9

Therefore it is (-6,9)

7x + 6y = 12 -2x + y = 21

y+2x+9=0___1
7x+6y-21=0___2

1x2
x=15

from 1
y= -39

X=-104/19
Y=191/19

7x + 6y = 12 -2x + y = 21