Solve the system of equations {2x - 5y = -1 and 2x - y = 1?

Answer 1

x = 3/4
y = 1/2

Answer 2

2x - 5y = - 1- - - - - - Equation 1
2x - y = 1- - - - - - - - Equation 2
- - - - - - - -

Multiply equation 1 by - 1

2x - 5y = - 1

- 1(2x) - (- 1)(5y) = - 1(- 1)

- 2x - (- 5y) = - (- 1

- 2x + 5y = 1

- - - - - - - - - - -

- 2x + 5y = 1
2x - y = 1
- - - - - - - -
4y = 2

4y / 4 = 2 / 4

y = 2 / 4

y = 1 / 2

Inerrt the y value into equation 1
- - - - - - - - - - - - - - - - - - - - - - - - -

2x - 5y = - 1

2x - 5(1/2) = - 1

2x - 5/2 = - 1

2x - 5/2 + 5/2 = - 1 + 5/2

2x = - 1 + 5/2

2x = - 2/2 + 5/2

2x = 3/2

2x / 2 = 3/2 ÷ 2

x = 3/2 ÷ 2/1

x = 3/2 x 1/2

x = 3 / 4

Insert the x value into equation 1

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Check for equation 1

2x - 5y = - 1

2(3/4) - 5(1/2) = - 1

6/4 - 5/2 = - 1

6/4 - 10/4 = - 1

- 4/4 = - 1

- 1 = - 1

- - - - - - - -

Check for equation 2

2x - y = 1

2(3/4) - 1/2 = 1

6/4 - 1/2 = 1

6/4 - 2/4 = 1

4/4 = 1

1 = 1

- - - - - - - -

Both equations balance

The solution set { 3/4, 1/2 }

- - - - - - - - -s-

Answer 3

2x-5y=-1
2x-y=1

Multiply the second equation by -1:
2x-5y=-1
-2x+y=-1
=======
-4y=-2
y=1/2

2x-5(1/2)=-1
2x-5/2=-2/2
2x=3/2
x=3/4

The solution set is (3/4,1/2)

Check:
2(3/4)-5(1/2)=-1
3/2-5/2=-1
-2/2=-1
-1=-1

2(3/4)-1/2=1
3/2-1/2=1
2/2=1
1=1

I hope this helps!

Answer 4

2x-5y=-1
2x-y=1

u subtract those 2 equations and u get
2x-2x cancel out

-5y-(-y)=-4y
and -1-1=-2


so -4y=-2
y=-2/-4= -0.5


then substitute with one of the equations (i chose second)

2x-(o.5)=1
2x=1.5
x=1.5/2

x=o.75

Answer 5

multiply the first equation with -1
you'll get
-2x+5y=1
2x-y=1
4y=1
y=1/4
now you substitute y in the first eq
2x-5/4=-1
2x=-1+5/4
2x=-4+5
2x=1
x=1/2

Answer 6

y = .5

Answer 7

Do your own homework!

Take the second equation and rearrange it so it's y = whatever, then plug that value for y into the first equation and solve for x.

Answer 8

2X-5Y=-1
2X-Y=1
------------
SUBTRACT
0-4Y=-2
Y=1/2
... IF 2X-Y=I THEN 2X-I/2=I
FINISH UP LAZY BONES JUST KIDDN BUT SERIOUSLY FINISH UP

Answer 9

2x-5y=-1
-2x+y=-1
---------------------
-5y+y=-2
-4y=-2
y=1/2 ,,
-------------------------
2x=1+1/2 ,,,,,,,,2x=3/2....x=3/4...

Answer 10

I think
x = .75
y = .5