X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.
Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
It means <span>9 is not an element of T. hope it helped</span>
Answer: The numbers are -3 and - 6
Step-by-step explanation:
Let the first number be x and the second number be y , then from the first statement we have
x + 3 = y ............. equation 1
From the second statement
2y = 3x + 12 ............ equation 2
solving the resulting simultaneous equation by substitution method ,we have:
substitute x - 3= y into equation 2 , we have
2( x + 3) = 3x + 12
2x + 6 = 3x + 12
2x - 3x = 6
x = -6
substitute x = - 6 into equation 1 , that is
- 6 + 3 = y
Therefore ,
y = -3
2y = 3y + 3
Check:
x + 3 = y , implies
-6 + 3 = -3 = y
Also 2y = 3x + 12 , implies
2(-3) = -6
3(-6) + 12 = -6
283,573 rounded to the nearest ten thousand is 280,000
