Answer:
x=6 y=-9
Step-by-step explanation:
- Layer the equations on each other as you would in a subtraction problem:
8x + 2y=30
7x + 2y=24
- Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
- Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:
42+2y=24 then
2y=-18 then
y=-9
- Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.
Answer:
208
Step-by-step explanation:
13 options for colours = 13C1 = 13
AND
2 options for A/C = 2C1 = 2
AND
2 options for transmission = 2C1 = 2
AND
2 options power windows = 2C1 = 2
AND
2 options for CD player = 2C1 = 2
So,
13×2×2×2×2 = 208
Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14
Answer: 990
Step-by-step explanation:
Because the club has 11 members, there are 11 ways to choose the president.
Because 1 person is now the president, there are only 10 people left who are candidates for vice-president. Therefore, there are only 10 ways to choose the vice-president.
Because 1 person is president and another is vice-president, out of those 11 members, there are now only 9 people who can be candidates for secretary. Therefore, there are 9 ways to choose the secretary.
Multiply the ways to choose a president, vice-president, and secretary out of 11 club members, and you get:
11 * 10 * 9 = 990 (ways)
