Algebra 1 Substitution

Question

Use substitution to solve the system of equations. Type your answer in coordinate format: (x,y)

3x-2y=9

x-y=5

Answer 1

Problem:

Algebra 1 Substitution

Use substitution to solve the system of equations. Type your answer in coordinate format: (x,y)

3x-2y=9

x-y=5

Solution:

Rewrite as:

3x - 2y = 9

x - y = 5

From the second equation, solve for x.

x - y = 5

x = y + 5

Now and substitute it into the first equation.

3x - 2y = 9

3(y + 5) - 2y = 9

3y + 15 - 2y = 9

y = 9 - 15

y = -6

y has been found.

Now find x:

x = y + 5

x = -6 + 5

x = -1

Answer: (-1, 6)