Solve linear equations
match each equation with the correct solution

for 6(x + 2) - x = 4(x + 4) + 7, x = 11

For 0.8x + 5 = 0.2(40 - x), x = 3

For x = 3

For 5(x - 1) - 6x = - 11x

x = 1/2

Step-by-step explanation:

1)Looking at the first equation,

6(x + 2) - x = 4(x + 4) + 7

6x + 12 - x = 4x + 16 + 7

6x - x - 4x = 16 + 7 - 12

x = 11

2) 0.8x + 5 = 0.2(40 - x)

0.8x + 5 = 8 - 0.2x

Adding 0.2x to the left hand side and the right hand side of the equation, it becomes

0.8x + 0.2x + 5 = 8 - 0.2x + 0.2x

x + 5 = 8

x = 8 - 5 = 3

3) 5(x - 1) - 6x = - 11x

5x - 5 - 6x = - 11x

5x - 6x = - 11x + 5

- x + 11x = 5

10x = 5

x = 5/10 = 1/2

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.