1. 8
2. 25
3.40
plug in the expressions
Answer:
x= 2 and y = -4
Step-by-step explanation:
8x + 3y = 4 ---------------------------------(1)
-7x + 5y = -34 -----------------------------(2)
Multiply through equation (1) by 5 and multiply through equation(2) by 3
40x + 15y = 20 ----------------------------(3)
-21x + 15y =-102----------------------------(4)
Subtract equation (4) from equation (3)
61x = 122
Divide both-side of the equation by 61
61x/61 = 122/61
(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)
x = 122/61
x=2
Substitute x= 2 into equation (1)
8x + 3y = 4
8(2) + 3y = 4
16 + 3y = 4
Subtract 16 from both-side of the equation
16-16 + 3y = 4-16
3y = -12
Divide both-side of the equation by 3
3y/3 = -12/3
y = -4
x= 2 and y = -4
Answer:
33feet
Step-by-step explanation:
If the base of the doghouse is 6 feet and the height is 5 feet, we can write;
6 feet base = 5 feet height
To get the length of the base if the height is 27.5feet
x feet base = 27.5 feet high
Divide both expressions
6/x = 5/27.5
5x = 6 * 27.5
5x = 165
x = 165/5
x = 33ft
Hence the length of its base will be 33feet
$1100 x 1.021^7 = $1272 (whole number.)
the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.
