Question

Solve the system by substitution.

x, equals, 5, y
x=
5y
minus, x, minus, y, equals, 18
−x−y=
18

Answer 1

The system of equations x = 5y and −x − y = 18 is solved by substitution. The solution is found to be x = −15 and y = −3.

Step-by-step explanation:

To solve the system by substitution, we first need to use the given equations:

• x = 5y
• −x − y = 18

From the first equation, we know that x is equivalent to 5 times y, so we can substitute 5y in place of x in the second equation:

−(5y) − y = 18

Now, let's combine like terms:

−5y − y = −6y

Therefore, we have:

−6y = 18

To find the value of y, divide both sides by −6:

y = 18 / (−6)

y = −3

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

x = 5(−3)

x = −15

Therefore, the solution to the system of equations by substitution is x = −15 and y = −3.