Question

Use the substitution method to solve the system of equations.
3x + 4y = 10
y= x-1

Answer 1

x = 2, y = 1

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

Answer 2

3x + 4(x-1)=10
3x+4x-4=10
7x=14
X=2
Y= x-1
Y=1
Answer: (2,1)