Question

Solve the system by substitution. minus, 6, x, minus, 8, y, equals, 50 −6x−8y= 50 x, equals, minus, 3, y x= −3y

Answer 1

To solve the system of equations by substitution, we substitute x = −3y into the first equation, simplify and solve for y, then substitute y back into the second equation to find x, resulting in the solution (x, y) = (−15, 5).

Step-by-step explanation:

The system of equations to solve by substitution is given as:

• −6x − 8y = 50
• x = −3y

To solve the system by substitution, we first substitute the expression for x given by the second equation into the first equation:

• (−6)(−3y) − 8y = 50
• 18y − 8y = 50
• 10y = 50
• y = 50 / 10
• y = 5

Now that we have found the value of y, we substitute it back into the second equation to find x:

• x = −3(5)
• x = −15

Thus, the solution to the system of equations is (x, y) = (−15, 5).