Question

Solve the system of equations using the substitution method.

y = 7x – 16,

y = 2(2x – 5)

What is the solution?

Answer 1

When we're using the substitution method, we plug in one equation into the other

So we have here

\(\color{red}{y} = 7x - 16\)

\(\color{red}{y} = 2(2x-5)\)

we can plug the first equation into the second and we would get

7x - 16 = 2(2x - 5)

Can you solve for x?

Answer 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)

Answer 3

thx?

Answer 4

(:

Answer 5

but this needs two answers

Answer 6

Answer
5.0/5
98
pokahontaseals2
Answer is ( 2, -2 ) so x=2 and y=-2

my bad