Question

Two lines, C and D, are represented by the equations given below:

Line C: y = x + 10
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?

Answer 1

x=4

y=14

Explanation:

1. Substitute y=x+10 into y=3x+2.

Start with the original equation.

y=3x+2

Let y=x+10.

x+10=3x+2

2. Solve for x in x+10=3x+2.

x=4

3. Substitute x=4 into y=x+10.

y=14

4. Therefore,

x=4

y=14