The two linear equations in two variable is:
12 x + 3 y = 40
7 x - 4 y = 38
(a) For a system of equations in two Variable
a x + by = c
p x + q y = r
It will have unique solution , when
As, you can see that in the two equation Provided above
So, we can say the system of equation given here has unique solution.
(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.
1. 12 x+3 y=40
2. 7 x-4 y=38
Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),
L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)
= 30 -10.20
= 19.80≠ R.H.S that is 40.
Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)
= 17.5 +13.6
= 31.1≠R HS that is 38
So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.
Answer:
58
Step-by-step explanation:
Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.
Hello!
The first thing you should notice is that the exponent will be less than 1, as raising 27 to any power greater than 1 will make it larger, and you're trying to figure out what makes it equal to 3, a number less than 27.
Raising a number to a fractional power is taking its nth root:
is
![\sqrt[3]{21}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B21%7D%20)
, so you'll really need to take the nth root of 27 to get 3. To figure out which root, write the number in exponential form with a base of 3:
= 3
=
Now, the bases are the same (they are both 3), so you can set the exponents equal to each other:
3x = 1
Divide both sides by 3 and you've isolated x:
Answer:
Answer:
This equation is in standard form, so to make graphing easier you need to put it in y=mx+b form or slope, intercept form.
Step-by-step explanation:
I have attached a photo of what the graph would look like.
However, in the future you should know how to turn this into a slope intercept equation.
-2x+7y=-21
+2x +2x
7y=2x-21
divide the entire equation by 7
y= 2/7x-3
That is a full equation in slope intercept form.
Hopefully this helps!
