Final answer:
The student's question involves solving a system of equations by elimination. The solution is found by substituting one equation into the other, then solving for one variable and using that value to find the other. The approximate solution is x ≈ -9.3448 and y ≈ 1.5864.
Step-by-step explanation:
The student's question involves solving systems of equations by elimination. The given system is:
To solve by elimination, we want to eliminate one of the variables by combining the equations. To do this, we can solve one of the equations for one variable and then substitute it into the other equation. Let's solve the second equation for y:
y = 7x + 67
Now, let's substitute this expression for y into the first equation:
4(7x + 67) = -3 - x
Expand and solve for x:
28x + 268 = -3 - x
29x = -271
x = -271 / 29
x = -9.3448 (approximately)
Now that we have the value of x, we can substitute it back into the second equation to find y:
y = 7(-9.3448) + 67
y = -65.4136 + 67
y = 1.5864 (approximately)
The solution to the system is x ≈ -9.3448 and y ≈ 1.5864.