Question

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

Answer 1

`y = - 2x + 53x - 4y = 2 \\ y = 51x - 4y = 2 \\ > y = 51 x - 4y \\ > 51x - 4y = 2`

`y = 51x - 4y \\ 5y = 51x \\ y = (51)/(5) x`
Substitute 51/5x into

`51x - 4( (51)/(5) x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 * (10)/(102) \\ x = (10)/(51) \: aka \: 0.196`
Substitute that into

`y = (51)/(5) * (10)/(51) \\ y = 2`
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.