Put them into y=mx+b
y=1/3x -1
y=2/3x-4
Graph them. Where they touch is your answer. No touch? No solution. Same line? Infinite solutions.
Second set: Same thing.
Solution to first set is (9,2)
<h3><u>(2x - 5)(4x - 3)</u></h3>
The AC method, also known as splitting the middle, can be shown like this:
8x^2 - 26x + 15
<em><u>Check factors of 120.</u></em>
1 * 120
-1 * -120
2 * 60
-2 * -60
3 * 40
-3 * -40
5 * 24
-5 * -24
6 * 20
-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)
<em><u>Split the middle term.</u></em>
8x^2 - 6x - 20x + 15
<em><u>Group in terms of 2.</u></em>
(8x^2 - 6x) - (20x + 15)
<em><u>Factor each binomial.</u></em>
2x(4x - 3) - 5(4x - 3)
<em><u>Rearrange the terms.</u></em>
(2x - 5)(4x - 3)
Answer:
1.x^7
2.x^10
3.a^2
4. 5
Step-by-step explanation:
1. x^(5+2)=x^7
2.x^(5*2)=x^10
3.a^(5-3)=a^2
4. 5 * 1=5
Answer:
<u>The answer is 13/17</u>
Step-by-step explanation:
4x+y^2 divided by 4x+5y
4(3)+1^2 divided by 4(3)+5(1)
12+1 divided by 12+5
13 divided by 17
<u>13/17</u>
