Question

Use substitutions to solve each system of equations.[y = 4x -6] [5x + 3y = 1]

Answer 1

y=4x-6.....(1)

5x+3y=1....(2)

substitute y=4x-6 into equation 2

5x+3(4x-6)=1

5x+12x-18=1

17x=19

x=1.12

substitute x=1.12 into equation 1

y=4(1.12)-6

y=4.48-6

y=-1.52

x=1.12,y=1.52