Answer:
The linear equation is consistent
Step-by-step explanation:
X+y=14....(1)
X-y=4....(2)
Add (1) and (2)
2x=28
Divide both sides by 2
x=14
Substitute the value for x into (1)
14+y=14
Substrate 14 from both sides
y=0
So the linear equation is consistent
The answer is negative 2x squared minus 3x
x = - 3
y = -2
Step-by-step explanation:
3x - 8y = 7
x +2y = -7
We standardize the coefficient of one variable such that it addition will result to zero;
3x - 8y = 7
(x +2y = -7)4
Then multiply the one equation with a constant (this case 4) to get;
3x – 8y = 7
4x + 8y = - 28
We add the two equations;
3x – 8y = 7
+
4x + 8y = - 28
=
7x = - 21
x = -21 / 7
x = - 3
Now we evaluate y by replacing the value of x with -4 in one of the equation;
x +2y = -7
-3 +2y = -7
2y = -7 + 3
2y = - 4
y = -2
Learn More:
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Answer:
$75,000
Step-by-step explanation:
Given:
Total loaned amount = $200,500
Amount loaned for product Y = y
So, Amount loaned for product X = $50,500 + y
Computation:
Total loaned amount = Amount loaned for product Y + Amount loaned for product X
$200,500 = y + $50,500 + y
$200,500 = 2 y + $50,500
$200,500 - $50,500 = 2 y
$150,000 = 2 y
y = $75,000
Therefore, money loaned for product Y is $75,000