Answer:
Step-by-step explanation:
x + 2y = 14 ...............(1)
6x + 3y = 21 ..............(2)
Solve for x in equation 1
When x + 2y = 14
Therefore x = 14 - 2y ...................(3)
Now put equation 3 in equation 2 and solve
6x + 3y = 21 .............(2)
6(14 - 2y) + 3y = 21
Open the bracket and resolve
84 - 12y + 3y = 21
-9y + 84 =21
Now collect the like terms
-9y + 84 = 21
-9y = 21 - 84
-9y = -63
Divide through by -9 to get y
y = -63/-9
y = 7
Substitute for y in equation( 3 )to x
x= 14 - 2y............(3)
So, x = 14 - 2(7)
x = 14 - 14
x = 0.
Therefore x = 0 and y = 7
Check: From equation (1)
x + 2y = 14
Now, put x = 0 and y = -2
Therefore, 0 +2(7) =14
0 +14 = 14
Marc saved $2,533 in January than in December.
Step by Step calculation.
Given the details below :
Salary In December =$3,650
In January, Increased by 12%
Marc saves 30% of $3,650 in December
New salary can then be calculated as :
= Initial salary * % increase / 100 + Initial salary
= 3,650 * 12 / 100 + 3,650
= 3,650 * 0.12 + 3,650
= 4,088
The difference will now be
= 4,088 - 3650
= $438
Since Marc saves in December 30% of $3,650
= 30% of $3,650
= $1,095
Saves in January
= 1,095 + 438
= $2,533
Learn more here : https://brainly.in/question/36065141
The lcm of 120 and 20 is 120!
20 = 2 x 2 x 5
120 = 2 x 2 x 2 x 3 x 5
LCM = 2 x 2 x 2 x 3 x 5
2 units to the right of gx
