2x + y = 8
x - y = 10
--------------add
3x = 18
x = 6
x - y = 10
6 - y = 10
-y = 10 - 6
-y = 4
y = -4
solution is : (6,-4)
Answer:
Step-by-step explanation:
divide 20 by four
20/4=5/1
now 10 and 15 can both be divided by 5 since 5 is the greatest common factor
10/15=2/3
He made his mistake in Step 2. Tom should have subtracted 4/8 instead of 1/8. The mistake is that he was not consistent when he multiplied Denominators (bottom number) must be the same when handling fractions so Tom must multiply both the numerator and denominator by the SAME number to balance it out. 1/2 x 4/4= 4/8. Subtract. 7/8 - 4/8= 3/8. Tom has 3/8 of a gallon of paint leftover.
Answer:
d = 2cot(x) or d = 2/tan(x)
Step-by-step explanation:
The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:
Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).
