Question

Find values for p and q so that the equation has infinitely many solutions.
10x+p
= qx–5

Answer 1

To have infinitely many solutions for the equation 10x + p = qx - 5, p must equal -5 and q must equal 10.

Step-by-step explanation:

To find values for p and q so that the equation 10x + p = qx – 5 has infinitely many solutions, we must make both sides of the equation identical. This condition implies that the coefficients of x must be equal on both sides, and the constants must be equal as well. Hence, to satisfy the conditions for infinite solutions, we set 10 equal to q and p equal to -5.

Therefore, the values of p and q are:

• p = -5
• q = 10

Answer 2

p = -5, q = 10

Step-by-step explanation:

For this equation to have infinitely many solutions, we need both sides to be equal. Therefore p = -5 and q = 10. The equation will become 10x - 5 = 10x - 5, which can be satisfied by an infinitie number of values for x.