Question

Use substitution to solve the system of equations.
y = 5x + 1
4x + y = 10

Answer 1

Answer: x = 1, y = 6

Explanation:

y = 5x + 1

4x + y = 10

substitute y into the second equation

4x + 5x + 1 = 10

9x + 1 = 10

9x = 10 - 1

9x = 9

x = 9/9

x = 1

Now you have the x value substitute it in one of the equations above to get the y value

y = 5(1) + 1

y = 5 + 1

y = 6

so your x value is 1 and your y value is 6

Answer 2

(1, 6 )

Explanation:

y = 5x + 1 → (1)

4x + y = 10 → (2)

substitute y = 5x + 1 into (2)

4x + 5x + 1 = 10

9x + 1 = 10 ( subtract 1 from both sides )

9x = 9 ( divide both sides by 9 )

x = 1

substitute x = 1 into (1)

y = 5(1) + 1 = 5 + 1 = 6

solution is (1, 6 )