Question

Determine the number of solutions of this system of linear equations: x+y=8 ��� + ��� = 8 x+y=−10 ��� + ��� = − 10 %C2%A0 (1 point) Responses Infinitely Many Solutions Infinitely Many Solutions No Solutions No Solutions One Solution

Answer 1

One Solution

Answer 2

how

Answer 3

To determine the number of solutions of a system of linear equations, you need to check if the lines represented by the equations are parallel, coincident, or intersecting at one point.

In this case, the two equations are x + y = 8 and x + y = -10. Let's rearrange the equations to make them easier to analyze:

Equation 1: x + y = 8
Equation 2: x + y = -10

By comparing these two equations, we can see that the coefficients of x and y are the same, but the constants on the right side are different (8 and -10). This indicates that the lines represented by these equations are parallel and will never intersect.

Therefore, there are no solutions to this system of linear equations.