Final answer:
To solve the system of equations by substitution, first solve one equation for one variable, then substitute that value into the other equation and solve for the remaining variable. The solution to the system of equations is x = -23.5 and y = 43.
Step-by-step explanation:
To solve the system of equations by substitution, we will first solve one of the equations for one of the variables (in this case, we will solve the second equation for y). This gives us y = -2x - 4.
Next, we substitute this value of y into the first equation and solve for x. So we have 4x + 3(-2x - 4) = 35.
Simplifying this equation gives us 4x - 6x - 12 = 35.
Combining like terms gives us -2x - 12 = 35.
Adding 12 to both sides gives us -2x = 47.
Finally, dividing both sides by -2 gives us x = -23.5.
To find the value of y, we substitute the value of x into one of the original equations (let's use y = -2x - 4).
So y = -2(-23.5) - 4
= 47 - 4
= 43.
Therefore, the solution to the system of equations is x = -23.5 and y = 43.