If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y? A. x+y=90
x−4y=6

B. x+y=90
4x−y=−6

C. x+y=90
6x−y=−4

D. x+y=90
4x−y=6

The equations are and . Then the correct option is B.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The sum of x and y is 90.

And y is 6 more than four times x.

Let x and y be the numbers.

Then according to the first condition, we have

Then according to the second condition, we have

It can be written as

Then the equations are and .

Thus, the correct option is B.

More about the linear system link is given below.

link

B

Step-by-step explanation:

x + y =90

y= 4x +6

x + y = 90

4x − y = -6

i hope this is what you were looking for.

see attached graph