Question
sole the systems of equations -9x+y=12 2x+4y=-28 (__,__) (1point)
Answers
Answered by
GPT 3.5
To solve the system of equations, we can use the method of substitution or elimination.
Let's first use the method of substitution:
From the first equation, we can solve for y in terms of x:
-9x + y = 12
y = 9x + 12
Now we can substitute this expression for y into the second equation:
2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -76/38
x = -2
Now substitute the value of x back into the equation y = 9x + 12:
y = 9(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.
Let's first use the method of substitution:
From the first equation, we can solve for y in terms of x:
-9x + y = 12
y = 9x + 12
Now we can substitute this expression for y into the second equation:
2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -76/38
x = -2
Now substitute the value of x back into the equation y = 9x + 12:
y = 9(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.