Question

Solve the system by substitution.
-6x+8y=-18
3x=y

Answer 1

Answer:(-1,-3)

Step-by-step explanation:Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer 2

Answer:

x = —1, y = —3

Step-by-step explanation:

—6x + 8y = —18 (1)

3x = y (2)

From equation 2,

y = 3x

Now, substitute the value of y into equation 1 as shown below:

—6x + 8y = —18

—6x + 8(3x) = —18

—6x + 24x = —18

18x = —18

Divide both side by the coefficient of x i.e 18

x = —18/18

x = —1

Substitute the value of x into equation 2 as shown below:

y = 3x

y = 3(—1)

y = —3

Therefore, x = —1, y = —3