3/5 * 230 = 138 votes for Nyemi
3/10 * 230 = 69 votes for Luke
1/10 * 230 = 23 votes for Natalie
***************** DOUBLE-CHECK ****************
138 + 69 + 23 = 230 Correct!!
The picture will now be 7.5 inches high by 18 inches wide.
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.
Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.
Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,



On the right side of the model we have 8 tiles of (-1). So,


Now, equate the LHS and RHS to get the equation.

Therefore, the equation for the given model is
.