Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

What is the solution of the system? Use elimination.
3x - 4y = 9
-3x + 2y = 9

A. (3,9)
B. (-27,9)
C. (-3,-6)
D. (-9,9)


Sagot :

(one way is to subsitute since both equal 9 you do 3x-4y=-3x+2y then add 3x to both sides 6x-4y=2y add 4y to both sides 6x=6y divide by 6 x=y now subsitute 3x-4x=9 -x=9 multiply -1  x=9  x=y y=-9)


use elimination
add them together to cancel x terms
3x-4y=9
-3x+2y=9  +
0x-2y=18
-2y=18
divide by 2
-y=9
multiply -1
y=-9
subsituete

3x-4y=9
3x-(4 times -9)=9
3x-(-36)=9
3x+36=9
subtract 36 from both sides
3x=-27
divide both sides by 3
x=-9

x=-9
y=-9

the answer is  in (x,y) form
(-9,-9)
the answer is none of them (D is closest)

Answer:

(-9,-9)


Explanation:

The two given equations are:

3x - 4y = 9

-3x + 2y = 9


First step is to add the two equations in order to eliminate the x.

This will give us:

-4y + 2y = 9 + 9

-2y = 18

y = -9


Now, we substitute with the value of y in any of the equations to get x as follows:

3x - 4y = 9

3x - 4(-9) = 9

3x + 36 = 9

3x = -27

x = -9


Hope this helps :)