Final answer:
To solve the given equation, use the method of substitution to eliminate one variable and solve for the other. The solution is x = 76/35 and y = -8/7.
Step-by-step explanation:
To solve the equation 10x + 4y = 48 and -10x - 3y = -56, we can use the method of substitution.
Add the two equations together to eliminate the x terms: (10x + 4y) + (-10x - 3y) = 48 + (-56)
This simplifies to 7y = -8, so y = -8/7.
Substitute this value of y into one of the original equations to solve for x. For example, using 10x + 4y = 48, we have 10x + 4(-8/7) = 48.
Solving for x, we find x = 76/35.
Therefore, the solution to the equation is x = 76/35 and y = -8/7.