Question

Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.

3x-y=0
5x+2y=22

Answer 1

The answer to your question is:

x = 2

y = 6

Explanation:

3x - y = 0 (1)

5x + 2y = 22 (2)

Solve by substitution

from (1) 3x = y

then 5x + 2(3x) = 22 y = 3x

5x + 6x = 22 y = 3(2)

11x = 22 y = 6

x = 22/11

x = 2

Matrix

Δ 3 -1

5 2 = 6 + 5 = 11

Δx = 0 -1

22 2 = 0 + 22 = 22

Δy 3 0

5 22 = 66 - 0 = 66

x = Δx / Δ = 22 / 11 = 2

y = Δy / Δ = 66 / 11 = 6