Question

Solve the given system of equation by substitution method.
5x+y=15
6x-2y=2

Answer 1

from the 1st equ.
5x+y=15 ----> y = 15 - 5x, subtitute this y to the 2nd equ :
6x-2y=2
6x - 2(15 - 5x) = 2
6x - 30 + 10x = 2
16x = 30 + 2
16x = 32
x = 32/16 = 2

Answer 2

now, subtitute the x to y = 15 - 5x, giving us
y = 15 - 5(2)
y = 15 - 10
y = 5

Answer 3

therefore, the solution be (2,5)

Answer 4

you can also find the third equation first which will be a long process