Hey there!
Let's start by solving for x.
Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y.
We now have:
x + 9 = -3x - 7
Add 3x to both sides.
4x + 9 = -7
Subtract 9 from both sides.
4x = -16
Divide each side by 4.
x = -4
Let's use the second equation, y = x + 9, to solve for x.
Put in the value we just solved for.
We now have:
y = -4 + 9
Simplify.
y = 5
Let's check our answer, starting with the first equation, y = -3x - 7.
Put in the values for x and y.
5 = -3(-4) - 7
5 = 12 - 7
5 = 5
Do the same with the second equation, y = x + 9.
5 = -4 + 9
5 = 5
The solution to the system of equations is (5, -4).
Hope this helps!
Y = 15x + 12
From the start, she paid $12, and each day, she paid an extra $15.
The answer is B.
Answer:
perimeter =
8
x
+
4
Explanation:
the perimeter of a rectangle is ∙ perimeter =
2
l
+
2
w
where l is the length and w the width
here
l=
3
x
−
2
and
w
=
x
+
4
⇒
perimeter =
2
(
3
x
−
2
)
+
2
(
x
+
4
)
←
distribute
⇒
perimeter =
6
x
-4
+
2+8
←
collect like terms
⇒
perimeter =
8
x
+
4
Step-by-step explanation:
Answer:
p = 92
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angle
p+45 = (p-47)+p
Combine like terms
p+45 = 2p-47
Subtract p from each side
p-p+45 = 2p-p-47
45 = p-47
Add 47 to each side
45+47 = p-47+47
92 = p