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# Question

# Answer

hwachie

This question requires a bit of understanding on what it’s asking for.

(a) When the equations have **no** solution, it means that there are no intersections. Given that both of these equations are straight lines, it means that you’re trying to find a value of **a** such that both lines are parallel.

Rewriting the equations into y = mx + c:

Equation 1: y = 3 x + 5

Equation 2: 5y = a x + b

y = a/5 x + b/5

By matching up the gradient, a/5 = 3. a = 15.

(b) When the equations have **infinite** solutions, it means that they **are the same line**.

Hence, a is actually also 15, whereas is you compare the y-intercept of both equations, you can equate b/5 = 5. Thus, b = 25

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