Answer:
x = 3, y = 1 is the solution of the given system.
Step-by-step explanation:
Here, the given system of equations is:
y = -x + 4 ...... (1)
y = x - 2 .......... (2)
Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,
y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)
or, -x -x = -2 -4
or, - 2 x = -6 ⇒ x = 6/2 = 3
or, x = 3
⇒ y = x - 2 = 3 - 2 = 1
⇒ y = 1
Hence, x = 3, y = 1 is the solution of the given system.
Answer:
(6 , -1)
Step-by-step explanation:
2x+ y = 11 ----------------(I)
y = 11 - 2x --------------------(II)
Multiply the whole equation by 2
x - 10y = 16 --------------------(III)
Substitute y = 11- 2x in equation (III)
x - 10(11 - 2x) = 16
x - 110 + 20x = 16
21x - 110 = 16
21x = 16 +110
21x = 126
x = 126/21
x = 6
Plugin x = 6 in equation (II)
y = 11 - 2*6
y = 11 - 12
y = -1
165 Ting Ting's beads* (4 Sherrie's beads/ 5 Ting Ting's beads)= 132 Sherrie's beads.
132 Sherrie's beads* (1 Roxanne's bead/ 2 Sherrie's beads)= 66 Roxanne's beads.
Now that we know the number of beads Roxanne and Ting Ting have, let's subtract:
165 beads- 66 beads= 99 beads.
Hope this would help :))
Hopes this helps:
Answer: x = 6
Answer:
Longest side = 13 inches
Step-by-step explanation:
Perimeter of triangle = 30 inches
x + 4x - 8 + 2x +3 = 30
x + 4x + 2x - 8 + 3 = 30
7x - 5 = 30
7x = 30 + 5
7x = 35
x = 35/7
x = 5
Longest side is the hypotenuse.
Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches
