Answer:
x=-9,y=-4
Step-by-step explanation:
2x-3y=-6...(1)
-2x-2y=26...(2)
To solve we will have to eliminate one of the given variables, the variable to be eliminated is x
And it can be done by adding up (1) and (2)
It gives
-5y=20
Divide both sides by-5
y=-4
Then substitute the value of y into (1)
2x-3(-4)=-6
2x+12=-6
Substrate 12 from both sides
2x=-18
Divide both sides by 2
x=-9
Therefore x gives -9 and y gives-4
Answer:
-40+4b
Step-by-step explanation:
You multiply the outside (-4) by the things within the parentheses
Simplify the <u>expression</u>
Answer:
C. (1, -3)
Step-by-step explanation:
<em>My thought process: Guess and check by plugging in each ordered pair.</em>
A) -2 < 3(-3) +1
-2 < -8 FALSE
B) 14 < 3(3) + 1
14 < 10 FALSE
C) -3 < 3(1) + 1
-3 < 4 TRUE
Answer:
= 3.65.
Step-by-step explanation:
You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.
D + Q = 23
You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:
0.10*D + 0.25*Q = 3.65
That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.
So you have a system of linear equations:
D + Q = 23
0.10D + 0.25Q = 3.65
I'm going to multiply the bottom row by 100 to clear the decimals.
D + Q = 23
10D + 25Q = 365
Now I can multiply the top row by -10 to eliminate the D terms
-10D - 10Q = -230
10D + 25Q = 365
________________
0D + 15Q = 135
15Q = 135
Q = 9
Tom has 9 quarters.
If D + Q = 23, and Q = 9, then:
D + 9 = 23
D = 14
Tom has 14 dimes.
Always good to double check:
9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.
2.25 + 1.40
