Find a solution to the following system of equations.
-5x+y=-5
-4x+2y=2

Hence, the solution to the system of equations is:

x=2 and y=5

Step-by-step explanation:

We have to find the solution of system of linear equations:

-5x+y=-5 (1)

-4x+2y=2(2)

we will solve the system of method of substitution as:

from equation (1) we have:

y= -5+5x(3)

on using equation 2 we have:

-4x+2(-5+5x)=2

-4x-10+10x=2

on combining the like terms we have:

-4x+10x=2+10

6x=12

x=2 ( since on dividing both side of the equation by 6)

Hence, x=2 now on putting this value of x in equation (3) we get:

y=-5+5×2= -5+10

y=5

Hence, the solution to the system of equations is:

x=2 and y=5

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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step-by-step explanation: