Question

Solve system: y = 3x - 2 and y = x + 4

• A. (3,7)
• B. (2,4)
• C. (1,1)
• D. (4,10)

Answer 1

Answer:

A. (3,7)

Solve the system:

y=3x-2
y=x+4

Since both equations equal (y), set them equal:

3x-2=x+4

Subtract (x) from both sides:

2x-2=4

Add 2:

2x=6
x=3

Now substitute (x=3) into (y=x+4):

y=3+4=7

Solution:

$\boxed{x=3,\ y=7}$
The two lines intersect at the point:

$\boxed{(3,7)}$