Answer:
Step-by-step explanation:
Given
Lines x and y
Transversal b
Required
Find
From the attachment, and are vertically opposite.
This means that
Similarly
and are supplementary angles
So:
Make the subject
The relationship between and is that they are supplementary angles because:
The two equations given in the question are
y = - 3x
And
y = 6x - 9
Let us now substitute the value of y from the first equation to the second equation, we get
y = 6x - 9
- 3x = 6x - 9
-3x - 6x = - 9
- 9x = - 9
Multiplying both sides of the equation by -1 we get
9x = 9
x = 9/9
= 1
Now let us put the value of x in the first equation, we get
y = - 3x
= - (3 * 1)
= - 3
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
X-13=42
x is the "variable", you're taking 13 away from that, and the answer is also given, 42.