Final answer:
To solve the equation 5x + 7y = 6 by substitution, solve the equation 4y = 8 for y, substitute y = 2 into the equation 5x + 7y = 6, and solve for x. The solution is x = -8/5 and y = 2.
Step-by-step explanation:
To solve the equation 5x + 7y = 6 by substitution, we need to solve one of the equations for either x or y, and then substitute that expression into the other equation.
- We can solve the equation 4y = 8 for y by dividing both sides by 4, giving us y = 2.
- Now we can substitute y = 2 into the equation 5x + 7y = 6:
5x + 7(2) = 6 => 5x + 14 = 6 => 5x = -8 => x = -8/5
So the solution to the equation system is x = -8/5 and y = 2.