Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
−
2
x
=
3
+
−
2
x
(Add -2x to both sides)
y
=
−
2
x
+
3
Step: Substitute
−
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
−
2
x
+
3
)
=
1
−
2
x
+
9
=
1
(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4
Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
+
3
y
=
−
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
−
5
Answer:
4 and 2/3 from choice A on the promblem
Answer:
It should be 40%
Step-by-step explanation:
Answer: 2001 people attended the football game this week.
Step-by-step explanation:
Given: Total people came to the ball game = 2300
Decrease percent = 13%
Number of people attended the football game this week = p-0.13p, where p= number of people attended football last week.
for p= 2300
Number of people attended the football game this week = 2300- 0.13 x (2300)
=2300- 299
= 2001
hence, 2001 people attended the football game this week.
Answer:
Step-by-step explanation:
Given line = 30x - 5y = 5 or y = 6x + 1
so, the slope of the given line is 6.
now, let the line which is perpendicular to the given line be y = mx + c
where,
m = slope of the line
c = constant
As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.
so, slope of given line × slope of perpendicular line = -1
⇒ 6(m) = -1
⇒ m = 
By substitutiong the value of m in the equation, we get;
⇒ 
For c,
as the point (0,-3) passes through the line, we get;
⇒ 
⇒ 
Hence,
The line which is perpendicular to the given line and passes through (0,-3) is .
