Question

Solve the system of equations. 2x – 9y = 32
4x + y = -12

Answer 1

well...you can try to multiply either the x or y with a certain number so that atleast one can cancel...for instance, if you want to cancel the x multiply the 2x - 9y = 32 by -2

Answer 2

can you go from there?

Answer 3

x= -2 y=-4

Answer 4

Do you know how the reduction method works?

Answer 5

2x-9y=32.......................1
4x+y=-12..................2

from equ 1
2x=32+9y
x=32+9y/2
now put these values in 2nd equ then solve.

Answer 6

2x – 9y = 32
4x + y = -12

We have these two equations here, we want to make a variable disappear when added/substracted

I chose to add them up, I don't want the y, so I multiply the second equation by 9
(4x + y = -12)*9
36x + 9y = -108

Now I can add them

2x – 9y = 32
+ 36x + 9y = -108
============
36x + 2x = 32 + -108
38x = 32 - 108

Can you do it now?

Answer 7

add 32?

Answer 8

You need to solve the following equation:
\[38x=32-108\]
The first step is to reduce the right hand side of the equation to a single number by adding 32 and -108 (the result will be a negative number). Can you do that?

Answer 9

38x=140?

Answer 10

As I said the result of adding 32 and -108 will be a negative number. We are adding a positive number and a negative number: 32 + (-108)=?
Hint: 40 + (-100) = -60

Answer 11

To find 32 - 108 you can subtract 32 from 108 and give the result a negative sign.

Answer 12

2x-9y=32.......................1
4x+y=-12..................2
multiply 1 eua with 2 on both sides
4x-18y=64------------3
now equa2-eqau3
4x+y-(4x-18y)=-12-64
19y=-76
y=-4
use this y val inn eqa 1 we get 2x+36=32
2x=-2
x=-2