Answer:
If 
and 
, then 
Step-by-step explanation:
This is a problem that utilizes both substitution and the order of operations.
If you were to use the substitution method to solve the following system, we need to write one of the equation to an <span>expression equivalent to y. Let us say the second equation, we write it as follows:
</span><span>6x – 3y = –3
-3y = -6x - 3
y = 2x + 1
We substitute the equation to the first given equation as follows:
</span><span>2x – 5y = –3
</span>2x – 5(2x + 1) = –3
2x - 10x - 5 = -3
-8x = 2
x = -1/4
y = 2(-1/4) + 1 = 1/2
Answer:
See below ↓↓↓
Step-by-step explanation:
<u>Subquestion #1</u>
- These angles form a linear pair
- They are supplementary, and add up to 180°
- 2x + 48 = 180
- 2x = 132
- <u>x = 66</u>
<u></u>
<u>Subquestion #2</u>
- These angles are complementary, and add up to 90°
- 35 + 4x + 7 = 90
- 4x + 42 = 90
- 4x = 48
- <u>x = 12</u>
<u></u>
<u>Subquestion #3</u>
- As in #1, they are a linear pair, and are supplementary
- 3x + 54 = 180
- 3x = 126
- <u>x = 42</u>
Answer:
input x = - 7
Step-by-step explanation:
A is modelled as y = 5x - 4
B is modelled as y = 3x + 8
We require output of A three times the output of B , then
5x - 4 = 3(3x + 8) ← distribute
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7 ← input
