Question

Which description best describes the solution to the following system of equations?

y = −one halfx + 9
y = x + 7

Lines y=-1/2x+9and y= x+ 7 intersect the x-axis

Lines y=-1/2x + 9 and y + x+7 intersect the y-axis

Line y= -1/2X+9 intersects the orgin

Line y +-1/2x + 9 intersects line y+x+7

Answer 1

Both y = -1/2 + 9 and y = x +7 do not intersect the origin and do intersect the x and y-axis, but that is not the solution. The solution is the point where the 2 lines intersect each other.

If graphed, lines y = -1/2 + 9 and y = x + 7 do intersect each other.
The answer is D.

Answer 2

The description which best describes the solution to the provided system of equations is line y +-1/2x + 9 intersects line y+x+7.

What is the system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given in the problem is,

$y = -\dfrac{1}{2}x + 9$

The second equation of the system of equation is,

$y = x + 7$

The solution for the system of equation for these two linear equation of line will be at their insection point.

In the attached image below, we get the intersection point for these lines at point (1.333, 8.333).

Thus, the description which best describes the solution to the provided system of equations is line y +-1/2x + 9 intersects line y+x+7.

Learn more about the system of equations here;

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