Question

Using substitution or elimination 3y=-1/2x+2. y=-x+9

Answer 1

Answer:

(x, y) = (10, - 1)

Step-by-step explanation:

given the 2 equations

3y = - $\frac{1}{2}$ x + 2 → (1)

y = - x + 9 → (2)

substitute y = - x + 9 into (1)

3(- x + 9) = - $\frac{1}{2}$ x + 2

- 3x + 27 = - $\frac{1}{2}$ x + 2

add $\frac{1}{2}$ x to both sides

- $\frac{5}{2}$ x + 27 = 2 ( subtract 27 from both sides )

- $\frac{5}{2}$ x = - 25

multiply both sides by 2 and divide by - 5

x = 10

solution (10, - 1)