Solve by the substitution method 9x+6y=0, -9x+y=63

(- 6, 9 )

Step-by-step explanation:

Given the 2 equations

9x + 6y = 0 → (1)

- 9x + y = 63 → (2)

To solve by substitution

Rearrange (2) expressing y in terms of x by adding 9x to both sides

y = 9x + 63 → (3)

Substitute y = 9x + 63 into (1)

9x + 6(9x + 63) = 0 ← distribute and simplify left side

9x + 54x + 378 = 0

63x + 378 = 0 ( subtract 378 from both sides )

63x = - 378 ( divide both sides by 63 )

x = - 6

Substitute x = - 6 into (3) for corresponding value of y

y = 9(- 6) + 63 = - 54 + 63 = 9

Solution is (- 6, 9 )

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: