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:
3 and 1/2.
Step-by-step explanation:
1/2 times 7 = (7 times 1) / 2 = 7 / 2 = (6 + 1) / 2 = 3 and 1/2.
Hope this helps!
Answer:
Yes, lines CD & AB are perpendicular
Step-by-step explanation:
AB slope: y = -12/8x + 7
CD slope: y = 6/9x - 6
Once the slopes are simplified:
AB: -3/2
CD: 2/3
Hope this helps!
Answer:
11 dimes, 17 nickels
Step-by-step explanation:
d + n = 28, put one variable by itself on a side, d = 28 - n
.10d + .05n = 1.95
Sub the first equation into the second
.10(28 - n) + .05n = 1.95
2.8 - .10n + .05n = 1.95
2.8 - .05n = 1.95
-.05n = -0.85
n = 17 nickels
d + 17 = 28
d = 11 11 dimes
There are several information's of immense importance already given in the question. Based on those information's the answer to the question can be easily deduced.
In 4 hours Ashley rode a distance of = 26.5 miles
Then in 1 hour the distance that is ridden by Ashley = (26.5/4) miles
= 6.625 miles
So it can be clearly seen from the above deduction that the distance that has been ridden by Ashley in 1 hour is 6.625 miles. I hope the procedure is clear enough for you to understand. In future you can use this procedure to solve similar kind of problems without requiring any outside help.