Write the equation of the line that it is parallel to y=2x + 1 and passes through the solution of the following system of equations

Question

3x - 2y = 10

x + y = 5

Answer 1

3x-2y=10 add twice the next equation

2x+2y=10 that gives 5x=20 or x=4 then y=5-4=1

(4,1) is the point where the two lines intersect

y=2x+1 has slope = 2 any equation with the same slope is parallel

use the point slope formula y-k=m(x-h) slope=m=2, point is (h,k)=(4,1)

y-1=2(x-4) or 2x-y=7