solve the system by substitution..
-3x-5y=-17
4x=y-8
-3x - 5y = -17
4x+8 = y I solve this for y
Now rewrite the first equation and put in 4x + 8 for y.
-3x -5(4x+8) = -17
solve for x. Be sure to multiply both 4x and 8 by negative 5.
Once you have x, you can find y in the original equation.
Also, always check your x and y in both equations to be sure you have not made a mistake.
Thank you so much
You are welcome
To solve the given system of equations by substitution, we can follow these steps:
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x:
4x = y - 8
Step 2: Rewrite the equation with the solved variable substituted into the other equation.
Let's substitute the value we found for x in the first equation:
-3(x) - 5y = -17
Step 3: Solve the resulting equation for the remaining variable.
-3(y - 8) - 5y = -17
-3y + 24 - 5y = -17
-8y + 24 = -17
-8y = -17 - 24
-8y = -41
y = (-41) / (-8)
y = 5.125
Step 4: Substitute the found value of y back into one of the original equations to solve for the other variable.
We can use the second equation:
4x = 5.125 - 8
4x = -2.875
x = (-2.875) / 4
x = -0.71875
Therefore, the solution to the system of equations is x = -0.71875 and y = 5.125.