Question

Solve this system using the substitution method.

2x + 2y = 14
y = 3x - 5
x=
y=
​

Answer 1

picture has full answer

Answer 2

The solution is:

x=3

y=4

Explanation:

We need to solve this system using the substitution method.

2x + 2y = 14

y = 3x - 5

Substitution method involves placing value of x or y from one equation to other equation.

We have:

`2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)`

We will put value of y from equation 2 into equation 1.

`2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=(24)/(8)\\x=3`

So, we get x =3

Now, put value of x in equation 2 to find value of y

`y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4`

So, we have y = 4

The solution is:

x=3

y=4