Mathematics: How many solutions can be found for the system of linear equations represented on the graph? a) no solution b) one solution c) two solutions d) infinitely many solutions

How many solutions can be found for the system of

dez2745

10.03.2022

A) no solution

Step-by-step explanation:

The equation of first line = $y=-\dfrac{1}{2}x+4$

which can be written as : 2y=-x+8

x+2y=8

The equation of second line = $y=-\dfrac{1}{2}x-6$

which can be written as : x+2y=-12

Since , the ratio of the coefficients of x is equal to the ratio of the coefficients of y but not the ratio of the constants .

$\dfrac{1}{1}=\dfrac{2}{2}\neq\dfrac{8}{-12}$

Therefore , the lines are parallel and do not have any solution.

So , the correct answer is A) no solution.

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kinkin79

24.04.2020

h(x) will be = -4

Step-by-step explanation:

h(x) = 6 – X

When h(10)

Then,

h(10) = 6 - 10

= -4

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