Substitution this
-5x-6y=-15
y=3x-9

-5x-6y= -15

y=3x-9

find y first. to do that, SUBSTITUTE the y equation into the larger.

-5x-6(3x-9)= -15

now use the distributive property.

-5x-18x+54= -15

the first two numbers are like terms.

-5x-18x= -23x

your equation is -23x+54= -15

since -15 is already in the other side of the equal sign, subtract 54.

-15-54= -69

-23x= -69

69÷23=3

x=3

now find y using the x value in the other equation.

y=3(3)-9

y=9-9

y=0

Your point is (3,0)

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step-by-step explanation:

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