What are the coordinates of the x-intercept of the equation -5y=4-2x?

Answers

Option: A is correct.

A.  The x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7

Step-by-step explanation:

We are asked to find the solution of the equation:

3 x+5=2 x-7.

We can also equate these equation to y so that:

y=3 x+5=2 x-7

i.e. we plot the equation:

y=3 x+5

and y=2 x-7

and see the intersection point and the solution will be the x-value of the coordinate of the intersection point.

The solution is:

x= -12.

As the equation is in a single variable 'x' hence the solution of the equation is the value of x.

Hence, the solution of 3x + 5 = 2x – 7 is:

(A. the x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7 )

Option: A is correct.

Option: A is correct.

A.  The x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7

Step-by-step explanation:

We are asked to find the solution of the equation:

3 x+5=2 x-7.

We can also equate these equation to y so that:

y=3 x+5=2 x-7

i.e. we plot the equation:

y=3 x+5

and y=2 x-7

and see the intersection point and the solution will be the x-value of the coordinate of the intersection point.

The solution is:

x= -12.

As the equation is in a single variable 'x' hence the solution of the equation is the value of x.

Hence, the solution of 3x + 5 = 2x – 7 is:

(A. the x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7 )

Option: A is correct.

Keywords:

System of equations, ordered pair, variable, graphic solution

For this case we have the following equation: 3x + 5 = 2x - 7, which we can rewrite as a system of two equations with two variables of the form:

y = 3x + 5\\y = 2x-7

Algebraic solution:

We equate the equations, obtaining3x + 5 = 2x - 7. From here we can clear the value of "x", then substitute in any of the two equations and find the value of "y". Thus, we obtain the ordered pair (x, y)which is the solution of the system of equations.

Graphic solution:

We graph both equations. The solution of the system of equations is the point of intersection (x, y) of both lines.

So, we have that the solution of 3x + 5 = 2x - 7 is the x - coordinate of the intersection point of the linesy = 3x + 5 and y = 2x - 7

The x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x - 7

D

Step-by-step explanation:

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a

Step-by-step explanation:

4

step-by-step explanation:

2b/3

Step-by-step explanation:

-12

Step-by-step explanation:

3x+5=2x-7

3x+5-5=2x-7-5

3x=2x-12

x=-12

the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Step-by-step explanation:

The x intercept of -5y=4-2x  equals  (2,0)


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