Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
1 answer:
Answer:
x = 1
y = -2
Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.
-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5
Next, substitute the value of x into the second equation and solve.
6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10
Then, solve for y
- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2
Finally, substitute the value of y into the x value we found earlier and solve
x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
You might be interested in
The dimensions of the rectangle are 24*6 meters
Length (L): 2w + 6
width (w): w
Perimeter (P) = 2L + 2w
66 = 2(2w + 6) + 2(w)
66 = 4w + 12 + 2w
66 = 6w + 12
48 = 6w
8 = w
Length (L): 2w + 6 = 2(8) + 6 = 16 + 6 = 22
Answer: width = 8 ft, length = 22 ft
'consequently' or 'accordingly'.
(Now you know why we usually use 'so'.)
Answer:
the answer is 4/5 which is .8
Step-by-step explanation: