Question

By solving simultaneous equations, work out the coordinates of the point where the two lines below intersect

2x+y=15 y=4x-3

Answer 1

Given equations:

2x+y=15

y=4x−3

Substitute y from the second equation into the first equation:

2x+(4x−3)=15

Now, solve for x:

2x+4x−3=15

6x−3=15

6x=15+3

6x=18

x= 18/6

x=3

Now that we have x, let's find y using the second equation:

y=4x−3

y=4×3−3

y=12−3

y=9

So, the solution to the system of equations is:

x=3

y=9

Explanation: