I need help on these two! Can annoying explain?
1 answer:
You are solving the two equations for x.
9.
r = 4 + 7x - sx
We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.
4 + 7x - sx = r
We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.
7x - sx = r - 4
Factor x in left side.
x(7 - s) = r - 4
Divide both sides by 7 - s.
12.
3z + 8 = 12 + 3x - z
Since x is only in the right side, flip the sides.
12 + 3x - z = 3z + 8
We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.
3x = 3z + 8 - 12 + z
3x = 4z - 4
Divide both sides by 3.
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Answer:
The ordered pair is indeed a solution to the system:
.
Step-by-step explanation:
Consider a system of equations about variables and
. An ordered pair
(where
and
are constant) is a solution to that system if and only if all equations in that system hold after substituting in
and
.
For the system in this question, would be a solution only if both equations in the system hold after replacing all
in equations of the system with
and all
with
.
The of the equation
would become
. The
of that equation would become
. The two sides are indeed equal.
Similarly, the of the equation
would become
. The
of that equation would become
. The two sides are indeed equal.
Thus, and
simultaneously satisfy both equations of the given system. Therefore, the ordered pair
would indeed be a solution to that system.
Answer:
Option A 90,68
Step-by-step explanation:
see the attached figure to better understand the problem
The figure shows a kite
we know that
A kite properties include
1) two pairs of consecutive, congruent sides
2) congruent non-vertex angles
3) perpendicular diagonals
Find the measure of angle 1
we have that
----> by the diagonals are perpendicular
Find the measure of angle 2
we know that
triangle AEB is congruent with triangle CEB
so
In the right triangle EAB
----> by complementary angles in a right triangle
so
therefore
