91.8k views
0 votes
Solve the system of equations using the substitution method. y = 7x – 16, y = 2(2x – 5) What is the solution?

User Pfandrade
by
7.8k points

1 Answer

7 votes

Answer:Y = 7x – 16,

y = 2(2x – 5)

Explanation:

he answer to the system of equations is (2,-2)

First, we can substitute in for y in the other equation

This will give us

Next, we distribute the 2 throughout the parenthesis

Now we can solve for x. Begin by adding 16 to each side

Now we can subtract 4x from each side

Lastly, we can divide each side by 3

Now, we need to substitute in the value that we got for x into one of the equations to find the y value.

This becomes

So

This means that the solution to the system of equations is (2,-2)

User Rodolfo Neuber
by
7.5k points