An unknown number (b) is 10 more than an unknown number (k). The number (b) is also (k) less than 8. The equations to find (k) and (b) are shown below:

B = k +10
B = -k + 8

Which is a correct step to find k and b?

A. Write the points where the graphs of the equations intersect the x-axis.

B. Write the points where the graphs of the equations intersect the y-axis.

C. Add the equations to eliminate k.

D. Multiply the equations to eliminate b.

1 answer

C. Add the equations to eliminate k.

By adding the two equations together, you can eliminate k and solve for b. The correct step would be to add the equations:

(k + 10) + (-k + 8) = 0

This simplifies to:

20 = 0

Which is not true, indicating that there may be a mistake in the original equations.