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Solve the system of linear equations using elimination -9x-10y=17 -10x-10y=10

User Kec
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1 Answer

4 votes

Answer:

x=y and y=-8

Explanation:

Multiply the second equation by -1

(9x-10y=17)

-1(-10x-10y=10)

Becomes:

-9x-10y=17

10x+10y=-10

Add equations together to eliminate y:

x=7

Then solve x=7 for x:

x=7

Then plug in x to the original equation:

-9x-10y=17

Substitute 7 for x in -9x-10y=17:

(-9)(7) - 10y = 17

-10y - 63 = 17

-10y -63 + 63 = 17 + 63 (add 63 to both sides)

-10y = 80

-10y/-10 = 80/-10 (divide both sides by -10)

y = -8

User Yodamad
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