5x + 2y = 7....multiply by -3
-2x + 6y = 9
----------------
-15x - 6y = -21 (result of multiplying by -3)
-2x + 6y = 9
---------------add
-17x = - 12
x = 12/17 or 0.7
5x + 2y = 7
5(12/17) + 2y = 7
60/17 + 2y = 7
2y = 7 - 60/17
2y = 119/17 - 60/17
2y = 59/17
y = 59/17 * 1/2
y = 59/34 or 1.7 when rounded <====
<span>A slope of 1/2 means that for every two units you go to the right horizontally, the graphed line
goes up 1 unit vertically.</span>
- 5 and -4 are coefficients, so the product is (-5)(-4) = 20
Answer:
AB = 1.33
Step-by-step explanation:
AB and QR are in a ratio of 3 to 8 so we can create this proportion:
(3x+5)/24 = 3/8
cross-multiply:
8(3x+5) = 72
divide each side by 8 to get:
3x + 5 = 9
3x = 4
x = 4/3 or 1.33 repeating
Cost of walnuts = 45 cents per pound
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture

Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.