Question

Solve the system of equations
-10x + 3y = 5
x=y-4
x=?
y=?

Answer 1

x = 1, y = 5

Explanation:

- 10x + 3y = 5 → (1)

x = y - 4 → (2)

Substitute x = y - 4 into (1)

- 10(y - 4) + 3y = 5 ← distribute parenthesis and simplify left side

- 10y + 40 + 3y = 5

- 7y + 40 = 5 ( subtract 40 from both sides )

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into (2)

x = 5 - 4 = 1