Question

Find the solution to the system of linear equations y = 5x + 2 and y = −3x + 18 using the intersection method.

Check your answer (x,y)=( )

Answer 1

(x,y)=(2,12).

Explanation:

Let's find the answer using the given equations:

y1=5x+2

y2=-3x+18

Using the intersection method:

y1=y2 so:

5x+2=-3x+18

5x+3x=18-2

x=16/8=2

Using x=2 in the first equation we have:

y1=5*(2)+2=12

So, the answer is (x,y)=(2,12).

Let's check our answer:

y1=5x+2

12=5*(2)+2

12=12

y2=-3x+18

12=-3*(2)+18

12=12