Question

Solve the system of linear equations below.

x + y = 4
2x + 3y = 0

Answer 1

Hi Welcome to Openstudy!!

Are you familiar with the elimination or substitution method?

Answer 2

it has to be negative

Answer 3

Welcome to Open Study .................. Sir/Ma'am @caleb_gajewsky

Answer 4

it's ma'am, and thank you

Answer 5

excuse me @austinisawesome12 what do you mean it has to be negative?

Answer 6

I am not aware

Answer 7

x + y = 4
we have to isolate y in this equation
y=-x+4

Answer 8

oh yeah true

Answer 9

then we replace y in this equation: 2x + 3y = 0
2x+3(-x+4)=0

Answer 10

now we solve for x

Answer 11

-2x = 12
x = -6 ?

Answer 12

2x+3(-x+4)=0
-------
2x-3x+12=0
-------
-x+12=0
-------
-x=-12
-------
x=12

Answer 13

now we replace x with the 2nd equation to solve for y
2(12) + 3y = 0
-----
24+3y=0
3y=-24
y=-8

Answer 14

now you have both answers
x=12
and
y=-8

Answer 15

Using the elimination method, you will eliminate one of the variables in order to solve for the other variable.

To do this:
1. Decide which variable you want to eliminate, say for example you want to solve for x.
2. To eliminate x, you have to multiply the first equation by -2.
3. Then, add both the equations. Simplify it and solve for y.
4. Once you already solved for y, substitute this y-value into on of the equations.
5. From that, you can be able to solve for x.

Substitution method is like what Muzzack is doing.

Hope this helps!
Enjoy! (^_^)

Answer 16

thank y'all !