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Find the solution of this system of equations

-10x-6y=0
-4x-6y=54
Should be an answer like 0,0

User TheDanMan
by
6.4k points

2 Answers

3 votes

The value of X is 9.

The value of y is -15.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Find the solution of this system of equations -10x-6y=0 -4x-6y=54 Should be an answer-example-1
User Thehandyman
by
6.3k points
5 votes

Answer:

(9, -15)

Explanation:

First, label the 2 equations:

-10x -6y= 0 -----(1)

-4x -6y= 54 -----(2)

(2) -(1):

(-4x -6y) -(-10x-6y)= 54 -0

-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)

-4x -6y +10x +6y= 54 (expand)

10x -4x= 54 (simplify)

6x= 54

x=54 ÷6

x= 9

susbt. x=9 into (1):

-10(9) -6y=0 (subst. x=9 into -10x-6y=0)

-90= 6y (bring y term to the other side)

6y= -90

y= -90 ÷6

y= -15

Thus, the solution is (9, -15).

User Stevenkucera
by
5.2k points