Answer:
a = 4, b = 8
Step-by-step explanation:
Rewrite 5b=6a+16 and 9a=7b-20 vertically:
5b=6a+16
9a=7b-20
Let's use substitution. Solve the first equation for b:
6a + 16
b = --------------
5
Substitute this result into the second equation:
9a = 7(b) + 16, or
6a + 16
9a = 7*-------------- - 20
5
Eliminate the fraction by multiplying all three terms by 5:
45a = 7(6a + 16) - 100, or
3a = 112 - 100, or:
3a = 12, which leads to a = 4.
Find b by subbing 4 for a in either of the given equations:
5b = 6(4) + 16, or
5b = 40, leading to b = 8
The solution is a = 4, b = 8
The problem gives us points (4, 12) and (11,26). We first find the slope using m=(y2-y1)/(x2-x1). We substitute and get m=(26-12)/(11-4). This simplifies to m = 2. We can then use the point-slope form y-y1 = m(x-x1). We substitute and get y - 12 = 2(x - 4). We distribute: y - 12 = 2x - 8. We add 12 to both sides to get our final answer, y = 2x + 4.
Answer:
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Create an equation 9.99+0.35t≤12
solve for t
