Question

Solve.

y=x−8
2x+3y=1

Use the substitution method.



(2, −6)

(5, −3)

(0, −8)

(4, −4)

Answer 1

The system of equations is solved using the substitution method to find that the solution is the ordered pair (5, -3).

Step-by-step explanation:

To solve the system of equations using the substitution method, take the first equation y = x - 8 and substitute it into the second equation 2x + 3y = 1. By doing so, you replace the variable y in the second equation with x - 8:

2x + 3(x - 8) = 1

Now, distribute the 3 into the parentheses:

2x + 3x - 24 = 1

Combine like terms:

5x - 24 = 1

Add 24 to both sides:

5x = 25

Divide both sides by 5:

x = 5

Now that we have the value for x, substitute it back into the first equation to find y:

y = 5 - 8

y = -3

Hence, the solution to the system of equations is (5, -3).

Answer 2

Because 2x+3y=1 and the value of y is x-8,we substitute
2x + 3(x-8)=1
2x +3x- 24=1
5x = 24
x=4.8

Given that we have the value of x, we can now substitute it in the other equation.
y=x-8
y=4.8-8
y= -3.2

The answer is (4.8, -3.2)