When two lines intersect to form a 90 degree angle, these lines are called ________ lines?
2 answers:
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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.
a. (3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. No, it is not possible to have more than one (x,y) pair that is solution to both equations
Step-by-step explanation:
a. Decide whether each neither of the equations,
i (3,4)
ii. (4,2.5)
ill. (5,5)
iv. (3,2)
To decide whether each point is solution to equations or not we will put the point in the equations
Equations are:
Equation 1: 6x + 4y = 34
Equation 2: 5x – 2y = 15
<u>i (3,4) </u>
Putting in Equation 1:
Putting in Equation 2:
<u>ii. (4,2.5)</u>
Putting in Equation 1:
Putting in Equation 2:
<u>ill. (5,5)</u>
Putting in Equation 2:
<u>iv. (3,2)</u>
Putting in Equation 2:
Hence,
(3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. Is it possible to have more than one (x, y) pair that is a solution to both
equations?
The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution
So,
a. (3,4) is only the solution to Equation 1.
(4, 2.5) is the solution to both equations
(5,5) is the solution to Equation 2
(3,2) is not the solution to any equation.
b. No, it is not possible to have more than one (x,y) pair that is solution to both equations
Keywords: Linear equations, Ordered pairs
Learn more about linear equations at:
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Hi !
<u /><span><u>A health researcher fund drive has raised 18,700 that is a 22% of the goal what is the goal ?
</u></span>
18,700 ↔ 22%
x ↔ 100%
The goal il 85,000.
<u /><span><u>A health researcher fund drive has raised 18,700 that is a 22% of the goal what is the goal ?
</u></span>
18,700 ↔ 22%
x ↔ 100%
The goal il 85,000.