Final answer:
To solve the system of linear equations 7y = 6x + 8, 4y = 8, and y + 7 = 3x, we can use the method of substitution. The solution to the system of linear equations is x = 1, y = 2.
Step-by-step explanation:
To solve the system of linear equations 7y = 6x + 8, 4y = 8, and y + 7 = 3x, we can use the method of substitution.
- First, solve the second equation 4y = 8 for y. Divide both sides of the equation by 4, we get y = 2.
- Next, substitute the value of y into the first equation 7y = 6x + 8. Replace y with 2, we get 7(2) = 6x + 8. Simplify the equation to 14 = 6x + 8.
- Now, solve the equation 14 = 6x + 8 for x. Subtract 8 from both sides, we get 6x = 6. Then, divide both sides by 6, we get x = 1.
Therefore, the solution to the system of linear equations is x = 1, y = 2.