Question

Solve, using the substitution method.

y = 3x + 5
4x – y = 5



Question 5 options:



(10, 35)



(15, 10)



There are an infinite number of solutions.



There is no solution.

Answer 1

Explanation:

We can use the substitution method to solve the system of equations:

y = 3x + 5 ...(1)

4x – y = 5 ...(2)

We can solve equation (1) for y:

y = 3x + 5

Then substitute this expression for y into equation (2):

4x – y = 5

4x – (3x + 5) = 5 (substitute y = 3x + 5)

4x – 3x – 5 = 5

x – 5 = 5

x = 10

Now that we have found x = 10, we can substitute this value into equation (1) to find y:

y = 3x + 5

y = 3(10) + 5

y = 35

Therefore, the solution of the system of equations is (10, 35).

So, the correct option is (10, 35).