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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

Sagot :

AsmaNasridn

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.

What is the linear system?

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

[tex]\rm x + y = 90[/tex]

Then according to the second condition, we have

[tex]\rm y = 4x + 6[/tex]

It can be written as

[tex]\rm 4x - y = -6[/tex]

Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].

Thus, the correct option is B.

More about the linear system link is given below.

https://brainly.com/question/20379472

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