Question

Use the substitution method to solve each system of equations. Write the answer in ordered pairs.

x-y=1
5x+3y=45

Answer 1

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)