You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>
<em />
Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4
x =6
Hence, you will need 6 cups of sugar.
To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
Lines A and B are parallel to each other. Lines B and E are perpendicular to each other.
Answer:
1. if x + 5 = 12, then x = 7
<u>:Subtraction property of equality</u>
2. If x + y = 20, and y = 5, then x + 5 = 20.
<u>:Substitution property of equality</u>
3. If 2x3 = 11, then 11 = 2x - 3.
<u>:Symmetric property of equality</u>
