The greater of two numbers is six more than 4 times the smaller. Their sum is 41. Find the number

smaller number is  7

larger number is 35

Step-by-step explanation:

Let the smaller number be x

Given that greater number is 6 more than 4 times the smaller number.

If x is value of smaller number then 4 times the smaller number is 4*x= 4x

six more than 4 times the smaller number will be 6+4x.

Thus larger number is 6+4x

Sum of smaller and larger no is 41.

Substituting the value of smaller and larger number in sum we have

x+6+4x = 41

=> 5x+6 = 41

=> 5x = 41-6

=> 5x= 35

=>x = 35/5 = 7

Thus smaller number is x = 7

larger number = 4x+6 = 4*7+6 = 35

she drove 134 miles

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9