Answer:
x = -1
, y = 1
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = -2 | (equation 1)
3 x + 2 y = -1 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x + 3 y = -2 | (equation 1)
0 x+y/5 = 1/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + 3 y = -2 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -1
, y = 1
A(n) = current term
a(n + 1) = next term
in a geometric sequence, the next term comes from a product of the current term and the common ratio.
the common ratio can be any value, let's say use r = ½.
if the current term is say hmmm 40, the next term is 40*½ , or 20, so indeed, the next term is smaller.
Answer:
51/60, 52/60
Step-by-step explanation:
20 and 15 are 5×2×2 and 5×3. The smallest common denominator would be 5×2×2×3=60.
Slope is rise over run. Go up 1 unit, right 4 units to get to the next point.
the slope is 1/4
2/5 x 60 = 24
2/5 x (4x - 1) = x+5
8x - 2 = 5x + 25
3x = 27
x = 9
The value of x is 9