Respuesta :

musenmuñuy
2x-y=10
3x-2y=8

-y= -2x +10 multiply by(-1)
y=2x-10

3x-2(2x-10)=8
3x-4x+20=8
-x=-12 multply by (-1)
x=12
24-y =10
-y=-14
(12,14)

Answer:

x=12, y=14

Step-by-step explanation:

[tex]2x - y = 10[/tex]

Solve the equation for y. Subtract 2x from both sides

[tex]- y = -2x+10[/tex]

Divide both sides by -1

[tex]y=2x-10[/tex]

Substitute 2x-10 for y in the second equation

[tex]3x - 2(2x-10)= 8[/tex]

[tex]3x - 4x+20= 8[/tex]

[tex]-1x+20= 8[/tex]

Subtract 20 from both sides

[tex]-1x= -12[/tex]

Divide both sides by -1

x= 12

[tex]y=2x-10[/tex]

Substitute 12 for x

[tex]y=2(12)-10=14[/tex]

y=14

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