Solve.
y=x−8
2x+3y=1
use the substitution method.
(4, −4)
(5, −3)
(2, −6)
(0, −8)
use the equation
2x+3(x-8)=1
B/c you substitute in (x-8) for y
Here's a start --
y=x−8
2x+3y=1
2x + 3(x - 8) = 1
5x - 24 = 1
5x = 25
x = 5
Yes, b.
Mathematics
To solve the system of equations using the substitution method, follow these steps:
Step 1: Solve one of the equations for one variable.
Let's solve the first equation, y = x - 8, for the variable y:
y = x - 8
Step 2: Substitute the expression obtained in Step 1 into the other equation.
Substitute y in the second equation, 2x + 3y = 1, with x - 8:
2x + 3(x - 8) = 1
Step 3: Solve the equation obtained in Step 2 for the variable x:
2x + 3x - 24 = 1
5x - 24 = 1
5x = 25
x = 5
Step 4: Substitute the value of x obtained above into one of the original equations to find the value of y.
Using the first equation, y = x - 8:
y = 5 - 8
y = -3
Therefore, the solution to the system of equations is the coordinates (5, -3).