Let's solve your system by substitution.
3x−2y=−12;4x+5y=7
Step: Solve3x−2y=−12for x:
3x−2y=−12
3x−2y+2y=−12+2y(Add 2y to both sides)
<u>3x</u>= <u>2y−12
</u>
3 3
=
<u>2y−12
</u>
3
(Divide both sides by 3)
x=
<u>2
</u>
3 y−4
Step: Substitute
<u>2
</u>
3
y−4 for x in 4x+5y=7:
4x+5y=7
4(
2/3 y−4)+5y=7
<u>23
</u>
3
y−16=7(Simplify both sides of the equation)
<u>23</u>
3
y−16+16=7+16(Add 16 to both sides)
<u>23</u>
3
y=23
<u>23</u>
3 y
<u>23
</u>
3 = 23<u>
</u>
<u>23
</u>
3
(Divide both sides by 23/3)
y=3
Step: Substitute 3 for y in x=
<u> 2 </u>
3
y−4:
x=
<u> 2 </u>
3
y−4
x= <u> 2 </u>
3
(3)−4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=3 (underlined and / are fractions or division)
Answer:
The vertex of this graph is (5, 3)
Step-by-step explanation:
In order to find the vertex of any graph in vertex form, we need to look at the base form.
f(x) = a|x - h| + k
The point (h, k) is the vertex. You can see that 5 lines up with the h term and 3 lines up with the k term. This gives us a vertex of (5, 3)
Answer:
720
Step-by-step explanation:
I got it from Quora
We can use 6 people without repetition, which means we simply have to use counting principle 1.
A number of n objects can be arranged in n! ways.
Total number of combinations possibles = 6! =720
