X - y =2 X + y= -3 What is (x,y)

Mathematics

1 answer:

Dimas [21]3 years ago

8 0

Answer:

(-1/2,-5/2)

Step-by-step explanation:

x-y = 2

x+y = -3

---------------

Through Elimination, we can just add the system of equations. The y cancels out and gives us the single equation for x:

2x = -1

x = -1/2

Substitute -1/2 for x in either equation and you get:

(-1/2) + y = -3 Solve for y

y = -5/2

--------------

You might be interested in

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

3 years ago

Use an inequality symbol(<>_= to compare _26_54

Rina8888 [55]

26 < 54
26 is less than 54

4 0

3 years ago

Read 2 more answers

Put this equation into slope- intercept form. -2x + 3y = 9

AveGali [126]

Answer:

y = 2/3x + 3