Answer:
1
Step-by-step explanation:
p + 9 - 9 ÷ q - 9
p = 4 q = 3
= 4 + 9 - 9 ÷ 3 - 9
= 4 + 9 - 3 - 9
= 1
<em>multiply the numbers.</em>
4 x 6 + y = 20
<em>move constant (24) to the right side and change its sign.</em>
24 + y = 20
<em>calculate the difference and you get the answer.</em>
y = 20 - 24
y = -4
So the value of y is -4.
Answer: A and B
<u>Step-by-step explanation:</u>
Here is Pascal's Triangle:
Row 1 (x + y)⁰ 1
Row 2 (x + y)¹ 1 1
Row 3 (x + y)² 1 2 1
Row 4 (x + y)³ 1 3 3 1
Row 5 (x + y)⁴ 1 4 6 4 1
∵
Row n (x + y)ⁿ⁻¹ 1 (sum of 2 digits above) 1
C and D are false. A and B are the only correct answers
Solve the following system:
{-3 + 2 x + y = 0 | (equation 1)
{-1 + x + y = 0 | (equation 2)
Express the system in standard form:
{2 x + y = 3 | (equation 1)
{x + y = 1 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 3 | (equation 1)
{0 x+y/2 = (-1)/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + y = 3 | (equation 1)
{0 x+y = -1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 4 | (equation 1)
{0 x+y = -1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 2 | (equation 1)
{0 x+y = -1 | (equation 2)
Collect results:
Answer: {x =2 , y = -1
