Question

Help!!! 30 Points!!!! Answer ASAP please!!! Please and thank you!!!

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5

A. A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to 4 times x plus 2 and y is equal to x plus 5 are plotted. These 2 lines intersect at the ordered pair 1, 6.

B. A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to 4 times x plus 2 and y is equal to x plus 5 are plotted. These 2 lines intersect at the ordered pair 2, negative7.

C. A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to 4 times x plus 2 and y is equal to x plus 5 are plotted. These 2 lines intersect at the ordered pair negative 1, negative 6.

D. A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to 4 times x plus 2 and y is equal to x plus 5 are plotted. These 2 lines intersect at the ordered pair negative 2, 7.

Answer 1

a

Explanation:

Answer 2

Answer: OPTION A.

Explanation:

You need to make both equations equal to each other and solve for the variable "x":

`y=y\\\\4x + 2=x + 5\\\\4x-x=5-2\\\\3x=3\\\\x=(3)/(3)\\\\x=1`

Now you must substitute
`x=1` into any original equation in order to find the value of the variable "y". Then:

`y = x + 5\\\\y = 1 + 5\\\\y=6`

The solution is:

`(1,6)`

On a graph the point of intersection of the lines is the solution of the system of equations. Therefore, these two lines intersect at the point
`(1,6)`.

Then, the graph that best represents the solution to the given pair of equations is the one described in OPTION A.