Use the substitution method to solve the system of equations.

3x + 4y = 10

y = x-1

3x + 4 (x-1) = 10

3x+4x-4=10

7x=14

X=2

Y = x-1

Y=1

Answer: (2,1)

x = 2, y = 1

Step-by-step explanation:

3x + 4y = 10

y = x - 1

The value of y is given, so plug in (x - 1) for y in the first equation:

3x + 4 (x - 1) = 10

Expand:

3x + 4x - 4 = 10

Simplify:

7x - 4 = 10

Add 4 to both sides:

7x = 14

Divide both sides by 7:

x = 2

Plug in 2 for x in the second equation:

y = 2 - 1

y = 1