Answer: x = -1 , y = 8✔️
Step-by-step explanation:
-12x - 2y = -4 } Equation 1
6x + 3y = 18 } Equation 2
We can extract the value of x from the equation 2:
6x + 3y = 18 } Equation 2
6x = 18 - 3y
x = (18 - 3y)/6 } Equation 2
Then we can substitute this value of x in equation 1:
-12x - 2y = -4 } Equation 1
-12·(18 - 3y)/6 - 2y = -4
-36 + 6y -2y = -4
4y = -4 + 36
4y = 32
y = 32/4 = 8
Now we can substitute this value of y in equation 2:
x = (18 - 3y)/6 } Equation 2
x = (18 - 3·8)/6 = (18 -24)/6 = -6/6 = -1
Answer: x = -1 , y = 8✔️
Check
We can check this result by substituting these values of x and y into the equations:
-12x - 2y = -4 } Equation 1
-12·(-1) - 2·8 = -4 ► 12 - 16 = -4✔️ checked!
6x + 3y = 18 } Equation 2
6·(-1) + 3·8 = 18 ► -6 + 24 = 18✔️ checked!
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