Question

When finding the intersection of two lines from both Algebra 1 and geometry you first set the linear equations equal to each other. find the intersection points of the two lines whose equations are shown below. be sure to find the X & Y coordinates.

y=5x+1 and y=2x-11

Answer 1

Answer with explanation:

The equation of twio lines are

y=5 x +1-----(1)

y=2 x-11--------(2)

Equation (1) - Equation (2)

0=5x-2x+1-(-11)

0=3 x+12

Adding , -12 on both sides

-12=3x+12-12

3x= -12

Dividing by , 3 on both sides

x=-4

Putting the value of , x in equation 1,

y= 5 × (-4)+1

y= -20 +1

y= -19

Point of intersection of two lines are = ( -4, -19)