no mind the extra words it would let me send it but i should be -24
<em><u>Question:</u></em>
4x + 2y = 0
- 4x – 9y= - 28
Solve each system by elimination
<em><u>Answer:</u></em>
The solution is x = -2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
4x + 2y = 0 ------ eqn 1
-4x – 9y = - 28 ------- eqn 2
We have to solve the system of equations by elimination method
Add eqn 1 and eqn 2
4x + 2y -4x -9y = 0 - 28
0 + 2y - 9y = -28
-7y = -28
Divide both sides by -7
y = 4
<em><u>Substitute y = 4 in eqn 1</u></em>
4x + 2(4) = 0
4x + 8 = 0
4x = -8
Divide both sides by 4
x = -2
Thus the solution is x = -2 and y = 4
Answer:
1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.
b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.
c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.
2. The answer is s = 1/2m + 2
3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.
4. 10r + 4 = 8 → 10r = 4 → r = 0.4
5. The variable r represents the rate she must increase her texting speed by per month.
6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".
Answer:
(x - 3)^2 + (y + 2)^2 = 2^2.