Respuesta :
Answer:
(-3, -4).
Step-by-step explanation:
-4x + y = 8
x - 5y = 17 Multiply this by 4:
4x - 20y = 68 Add this to the first equation:
-19y = 76
y = 76/-19
y = -4.
Plug this into the second equation:
x - 5(-4) = 17
x = 17 - 20
x = -3.
CHECK this result in equation 1:
-4(-3) + -4 = 8
12 - 4 = 8
8 = 8 <------ OK.
The solution of the given system of equations is [tex]y=-4[/tex].
Important information:
- [tex]-4x+y=8[/tex] ...(i)
- [tex]x-5y=17[/tex] ...(ii)
System of equations:
Multiply both sides by 5 in equation (i).
[tex]-20x+5y=40[/tex] ...(iii)
Add equation (ii) and (iii).
[tex]-19x=57[/tex]
[tex]x=\dfrac{57}{-19}[/tex]
[tex]x=-3[/tex]
Substitute [tex]x=-3[/tex] in (i).
[tex]-4(-3)+y=8[/tex]
[tex]12+y=8[/tex]
[tex]y=8-12[/tex]
[tex]y=-4[/tex]
Thus, the solution of the given system of equations is [tex]y=-4[/tex].
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