Solve the system. 2x-2y=4 and x+2y= -7?

Answer 1

3x = - 3
x = - 1

2y - 1 = - 7
2y = - 6
y = - 3

x = - 1 , y = - 3

Answer 2

2

Answer 3

Thanks for a very simple question. Your question is about Simultaneous Equation topic. Follow my step below.

Firstly, given the equation:
2x - 2y = 4
x + 2y = -7

Mark as (1) and (2):
2x - 2y = 4.....(1)
x + 2y = -7.....(2)

Find the x value from equation (2):
x + 2y = -7
x = -7 - 2y.....(3)

Then, substitute into equation (1):
2(-7 - 2y) - 2y = 4
-14 - 4y - 2y = 4
-4y - 2y = 4 + 14
-6y = 18
y = 18 ÷ (-6)
y = -3

Next, substitute y = -3 into the equation (3):
x = -7 - 2(-3)
x = -7 - (-6)
x = -7 + 6
x = -1

Therefore, the answer should be:
x = -1 and y = -3

I hope you got the best answer for your question. Have a nice day!

Answer 4

x = -1 and y = -3

Answer 5

2x - 2y = 4.................(1)
x + 2y = 7 .................(2)
From (2), x = 7 - 2y...(3)
sub (3) into (1)
2(7-2y) - 2y = 4
14 - 4y - 2y = 4
14 - 6y = 4
-6y = -10
y = 10/6

Sub y = 10/6 into the linear,
x + 2(10/6) = -7
x + 10/3 = -7
x = -21/3 - 10/3
x = -31/3

:D

Answer 6

2x-2y = 4
+x+2y = -7
---------------
3x+0 = -3

3x = -3
x = -1

Substitute -1 for x in the equation x+2y=-7 and get -1+2y=-7
-7-1=2y
2y=-6
y=-3