Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Answer:
-33/4 or -8 1/4
Step-by-step explanation:
Make similar terms:
-5/4 - 28/4: then solve
-5 - 28 = -33: put over 4
-33/4: simplify
-8 1/4
Answer:
16 minutes
Step-by-step explanation:
7 and 14 are both multiplies
Answer:
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
Step-by-step explanation:
The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.
That is:
3 : 2 : 5
The profit for the year was $176,500.
To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.
The total ratio is:
3 + 2 + 5 = 10
The first partner will receive 3/10 of the profits:
= $52950
The second partner will receive 2/10 of the profits:
= $35300
The third partner will receive 5/10 of the profits:
= $88250
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
