First, change one of the equations to an y=x form I'll use the top one for example.
3x-2y=14
-2y=14-3x
y=-7+(3/2)x
Not that you can show what y is in terms of x, plug in the x side of the equation into the other equation, for y.
x+2(-7+(3/2)x)=10
Now, you can solve for x
x-14+3x=10
4x-14=10
4x=24
x=6
Using this value of x, we can now solve for y using one of the original equations.
(6)+2y=10
2y=4
y=2
Answer:
0
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, what I would do is line it up so you can cancel things out. I.e.:
(3x*2y-2)3
(9xy*3)3
Both of the 3s can cancel out
3x*2y-2
9xy*3
2y-2
3y*3
2y/3y-2/3=2/3-2/3=0
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!
- the number 0 — additive identity
- a(b+c) = ab+ac — the distributive property
- an equation containing more than one variable — literal equation
- the number 1 — multiplicative identity
- the reciprocal of a number — multiplicative inverse
If x ≠ 0, then 1/x is its multiplicative inverse — true.
The product of a number and its multiplicative inverse is 1 — true.
....... shouldn't that be a question instead of an answer? Well, I guess it is what it is, and I understand it thx anyways. (=^\/^=)
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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