Question

Find ghe solution to the system. Write your solution as an ordered pair (x,y) with no spaces,no solution,or infinitely many.y=4x and 3x+2y=55​

Answer 1

The solution of the system is (5, 20).

Explanation:

y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.

The first can be rewritten as

4x – y = 0.

Therefore, we have:

4x – y = 0

3x + 2y = 55

Multiplying the first equation by 2 all through, we have

8x – 2y = 0.

So we can now combine the second equation with the first multiplied by 2.

8x – 2y = 0

3x + 2y = 55

Adding these equations we have:

11x = 55

Divide both sides by 11 and we have

x = 5

Substitute x = 5 in equation 1, we have

4(5) – y = 0

y = 20.

Therefore, x = 5 and y = 20.

The solution of the system is (5, 20).