Solve for x and y 15x=5y-5 y=3x+1 a) there are an infinite number of solutions b) x=0, y=1 c) there is no solution d) the solution is (15, 15)

The correct answer option is a) there are an infinite number of solutions

Step-by-step explanation:

We are given these two following equations:

15x = 5y - 5 --- (1)

y = 3x + 1 --- (2)

Solving these two by the substitution method by putting the value of y in equation (1).

15x = 5y - 5

15x = 5(3x + 1) - 1

15x = 15x + 5 - 5

5 and -5 get cancelled and we are left with 15 on both sides of the equation which will cancel each other.

Therefore, these equations have an infinite number of solutions.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

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step-by-step explanation: