Answered

Solve the system of equations. −5y+8x=−185y+2x=58\begin{aligned} & -5y+8x = -18 \\\\ &5y+2x = 58 \end{aligned}​−5y+8x=−185y+2x=58​ x=x=x=x, equals y=y=y=y, equals

Answer :

adelekeademolu

Answer:

[tex]x = 4[/tex]

[tex]y = 10[/tex]

Step-by-step explanation:

[tex]-5y + 8x = -18[/tex]

[tex]5y + 2x = 58[/tex]

These are simultaneous equations. The coefficients of y in both equations are the same, other than the difference in signs. We can thus eliminate y by adding both equations (if they had the same sign, we would have needed to subtract one equation from the other).

[tex]10x = 40[/tex]

[tex]x = 4[/tex]

Substitute for x in any of the equations. We are using the first one here.

[tex]-5y+8\times4 = -18[/tex]

[tex]-5y = -18-32[/tex]

[tex]-5y = -50[/tex]

[tex]y = 10[/tex]

Other Questions