What is the value of x in the solution to the system of equations?

You can solve this using a graphing calculator or an online calculator.

Step-by-step explanation:

1. Solve each equation for y:

x - 7 = 2y so y = (1/2)x - (7/2)

3x - 21 = 2y so y = (3/2)x - (21/2)

2. Graph the 2 equations

3. Find the intersection using the calculator

They intersect at (7,0). Those values of y make both of these equations true.

You can check this by plugging the values in:

(7) - 2(0) = 7   That's true

2(7) - 2(0) = 21   That's also true

Any values that make both equations true are solutions. Each of these equations is linear, and the lines in the graph just cross once, so there is one solution to this system of equations.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.