Question

Solve for x and y:

x = 5-2y
бу = 10 — 3x
O There are an infinite number of solutions.
0 x = 5, y = 0
O The solution is (0, -5).
O There is no solution.

Answer 1

there is no solution

Explanation:

x = 5 - 2y → (1)

6y = 10 - 3x → (2)

substitute x = 5 - 2y into (2)

6y = 10 - 3(5 - 2y ) ← distribute parenthesis

6y = 10 - 15 + 6y

6y = - 5 + 6y ( subtract 6y from both sides )

0 = - 5 ← false statement

this false statement indicates the equation has no solution