Answer:
x = -4; y = -3
Step-by-step explanation:
2x - 5y = 7
3x - y = -9
Rewrite top equation. Multiply both sides of bottom equation by -5. Add equations. This eliminates y, and we solve for x.
2x - 5y = 7
(+) -15x + 5y = 45
----------------------------
-13x = 52
Divide both sides by -13.
x = -4
Substitute -4 for x in the first original equation and solve for y.
2x - 5y = 7
2(-4) - 5y = 7
-8 - 5y = 7
-5y = 15
y = -3
Answer: x = -4; y = -3
-5 =
Answer:
18 muffins
Step-by-step explanation:
Amount of flour Maggie used
Total amount of flour she bought - Amount of flour left over.
= 45oz - 14.72 oz
= 30.28 oz of flour
She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.
Hence,
Let the number of muffins = x
17.5 + 0.71x = 30.28
0.71x = 30.28 - 17.5
0.71x = 12.78
x = 12.78/0.71
x = 18 muffins
Therefore, Maggie made 18 muffins
Answer:
3.11
Step-by-step explanation:
f(4)=f(4-1)+2
=f(3)+2
=f(3-1)+2+2
=f(2)+4
=f(2-1)+2+4
=f(1)+6
=5+6 (f(1)=5)
=11
Answer:
Price of Caleb's groceries before tax= $6.4
Step-by-step explanation:
Let price of groceries before tax be = $ 
Sales tax % = 2.5%
Sales tax applied = 
Actual sales tax paid = $1.60
∴ 
Multiplying both sides by 100.
Dividing both sides by 25.
∴ Price of groceries before tax= $6.4
