Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
Answer: $2800
Step-by-step explanation:
if the function is f(x) and shes already saved $1000 plug in the functions, or in other words plug in x for weeks.
1000 + 150 x
(plug in x)
1000 + 150 x 12
so now you do 150 x 12 which equels 1800
then add how muh shes saved and thats will be your total.
Let x be width.
Length: 2x
98=2x(x)
2x^2=98
x^2=98/2
x^2=49
x= sqrt(49)
x= 7 (not -7 because distance cannot be in negatives)
Therefore, the dimensions are 7"x14"
Hope I helped :)
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.
The sum of the three is 103. Thus, we can write that:
The second number is five less than the first. So:
And the third number is four times the first. So:
Substitute:
Solve for <em>a</em>. Combine like terms:
Add five to both sides:
And divide both sides by six. Therefore:
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
