Solve the following system of equations using the substitution method. y = -5x - 17
-3x - 3y = 3
O A) (-4,-3)
B) (-4,3)
C) (4,3)
D) (4,-3)

Step-by-step explanation:

We are given 2 equations and asked to solve the system of equations using the substitution method.

The 2 equations are:

The first equation is already solved for y, so we can substitute -5x-17 (the expression that y is equal to) into the second equation.

Solve for x by isolating the variable. First, distribute the -3. Multiply each term in parentheses by -3.

Combine like terms. -3x and 15x can be added because both terms contain the variable x.

51 is being added to 12x. The inverse operation of addition is subtraction. Subtract 51 from both sides of the equation.

x is being multiplied by 12. The inverse operation of multiplication is division. Divide both sides by 12.

Now that we have solved for x, we must find y. We know that x is equal to -4, so we can substitute -4 in for x in the first equation.

Multiply.

Subtract.

Coordinate points are written as (x, y), so the solution to this system of equations is (-4, 3)