Question

Solve the system of equations by substitution.
x+y=28
y=6x

Answer 1

We can solve this system of equations by substitution.

First, we can solve the second equation for y to get y = 6x.

Then, we can substitute this expression for y into the first equation:

x + y = 28
x + 6x = 28

Combining like terms, we have 7x = 28.

Dividing both sides by 7, we get x = 4.

Substituting this value for x back into the second equation, we can solve for y:

y = 6x
y = 6(4)
y = 24.

Therefore, the solution to the system of equations is x = 4 and y = 24.