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6x - 5y = 11
y = 7x + 21

What is the correct answer to this problem?


Sagot :

Answer:

X=-4, y=-7

Step-by-step explanation:

6x-5y=11.     1st equation

y=7x+21    2nd equation

6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation

6x-35x-105=11. Solve by distributative property

-29x-105=11.   Add x values

-29x=116.         add 105 to both sides

x=-4.                Solve for x

solve for y:

y=7x+21

y=7(-4)+21

y=-28+21

y=-7

check answer by substituting x and y into either equation

6x-5y=11

6(-4)-5(-7)=11

-24+35=11

11=11