The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
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Answer:
I dont know what to say
Step-by-step explanation:
Answer:
B. 5.2
Step-by-step explanation:
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There is one solution. The solution of the system is (9,-5)
Option A is correct.
Step-by-step explanation:
We need to solve the system of equations by elimination method
Rearranging the equations:
Eliminating y to find value of x:
Multiply eq(1) by 5 and eq(2) by 2 and add both equations:
So, value of x= 9
Eliminating x to find value of y:
Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:
So, value of y = -5
There is one solution. The solution of the system is (9,-5)
Option A is correct.
Keywords: Solving system of equations
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