We should change this equation to the slope-intercept form first. y = mx + b
So all we have to do is move the term with the x variable in it to the other side by adding it (inverse of a negative).
-2x - 4y = -20
+2x on both sides
-4y = 2x - 20
Now, we divide the whole thing by -4 to get y alone.
y = -1/2x + 5
To calculate for y, we must set x to 0.
y = 0x + 5
y = 5
To calculate for x, we must set y to 0.
(0) = -1/2x + 5
Move 5 by subtracting 5 to both sides.
-5 = -1/2x
Now we have to get x alone, to do that, we must divide by -1/2 on both sides.
10 = x
Answers:
y = 5
x = 10
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Answer: y = 2x-7
Step-by-step explanation:
$20, because when one person is supposed to pay at max. $5, and there are 4 people, 5*4= 20. The maximum cost of their pizza should be $20, so each person pays $5.
Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2