Answer:
p=3 q=0
Step-by-step explanation:
p+2q=3
p-2q=3
p+2q=3
p=3-2q---------eqn i
p-2q=3
3-2q-2q=3
3-4q=3
-4q=3-3
q=0÷-4
q=0
putting the value of q in equation i
p=3-2q
=3-2×0
=3
<span>The equation for the flowers Sam can purchase for his mother is 2.5x + 1.75y < 24.75. There are many acceptable answers for this, such as buying only 1 to 9 roses. If Sam wants to spend all of his $24.75 budget, he can get 5 roses and 7 daisies for a bouquet: 5*$2.50 = $12.50, 7*$1.75= $12.25, $12.50+$12.25 = $24.75</span>
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:

<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:

Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:

Which is for this case:

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:

So, the correct option is the first option:

Have a nice day!
Explanation:
3
x
+
y
=
2
−
x
−
3
y
=
6
⇒
−
6
−
3
y
=
x
Substitute this equation into the other system wherever you see
x
.
3
(
−
6
−
3
y
)
+
y
=
6
Distribute
3
onto
(
−
6
−
3
y
)
−
18
−
9
y
+
y
=
2
Combine alike terms
−
8
y
=
20
Divide to solve for
y
−
8
y
−
8
=
20
−
8
⇒
y
=
−
20
8
Then solve for
x
using the value of
y
.
−
x
−
60
8
=
6
x
=
−
108
8
y
=
−
20
8