Question

A student concludes that the solution to the equation x+3=2x-4, in one variable, is the x-coordinate of the solution to the graph of this linear system.

x-y=-3
2x-y=4

Which statement justifies this conclusion based on the student's work?

A Each side of the equation, in one variable, can be found by isolating the x-variable of each equation
in the system. The solution is the y-coordinate, where the x-coordinates of both graphs are the
same.

B Each side of the equation, in one variable, can be found by isolating the y-variable of each equation
in the system. The solution is the x-coordinate, where the x- coordinates of both graphs are the
same.

C. A solution to both equations in the system is (7, 10). Since that point is where the equations
intersect, it must be the solution to the system.

D. The solution to the equation, in one variable, is x = 7. Since both equations in the system have
y-values when x = 7, it must be the solution to the system.

Answer 1

`x = 7`

Explanation:

Rearrange unknown terms to the left side of the equation:
`x-2x = -4 - 3`

Combine like terms:
`-x = -4-3`

Calculate the sum or difference:
`-x = -7`

Divide both sides of the equation by the coefficient of variable:
`x = 7`

Answer 2

Answer:based on the student's work?A Each side of the equation, in one variable, can be found by isolating the x-variable of each equationin the s

Explanation:

Chart that arranges all of the known elements in a particular order.