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!
I think you may have forgotten to attach the actual problem
Answer: Each pen cost $0.75
Step-by-step explanation:
If A LaDawn buys a pack of 10 gel pens and the total cost is $7.50 then you divide 7.50 by 10.
Answer:
k = 4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division of f(x) by (x-1) is f(1). Evaluating the expression for x=1 gives ...
2(1³) -3(1²) +k(1) -1 = 2 -3 +k -1 = k -2
We want this to be equal to 2, so ...
k -2 = 2
k = 4
Answer:
2. 8/10
3. 27/100
4. 75/100 or 3/4
Step-by-step explanation:
•First, put the number on top of 1 in a fraction.
•Multiply the top and the bottom by 10 for every number after the decimal point.
2.
Number on top of 1 in a fraction:
0.8/1
As there is 1 number after the decimal place, you would have to times the top and bottom by 10.
8/10
3.
Number on top of 1:
0.27/1
Times top and the bottom by 100:
27/100
4.
Number on top of 1:
0.75/1
Times top and bottom by 100:
75/100
Simplify (if needed):
3/4
Hope this helps :)
