Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2
Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
Answer:
y = -2x + 1.
Step-by-step explanation:
2y = x - 1
y = 1/2y - 1/2
If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.
So, the slope will be -2.
We now have y = -2x + c.
To find c, simply put in -1 for x and 3 for y.
3 = -2 * -1 + c
c + 2 * 1 = 3
c + 2 = 3
c = 1
So, the equation of the line is y = -2x + 1.
Hope this helps!
Answer:
1. d
2. 2
Step-by-step explanation:
if it's a negative it's opposite will be a positive and vice versa
Answer:
5x 1000
Step-by-step explanation:
