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:
12books
Step-by-step explanation:
4 books → 1 $5 coupon
$15 coupon = $15 / $5 = 3times of $5 coupons
3 $5 coupons → 4 x 3 = 12 books
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Find circumference and height of cone and multiply
Answer:
£1690
Step-by-step explanation:
Amount invested by Brian = £1300
rate of simple interest = 10%
To find money Brian will have after three years
He will have amount invested in bank and interest earned in three years from that amount.
Simple interest for any principal amount p is given by
SI = P*R * T /100
where SI is simple interest earned
T is time period for which simple interest is earned
R is rate of interest
Substituting value of P , R and T we have
SI = 1300*10* 3 /100 = 390
Therefor interest earned will be £390
Total money with Brian after three years = principal amount invested + interest earned in 3 years
= £1300 + £390 = £1690
Answer:
Tahiya attempted 3 incorrect answers.
Helmin attempted 11 incorrect answers.
Step-by-step explanation:
Correct = +4
Incorrect = -3
1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:
2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:
In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.
Tahiya attempted 3 incorrect answers.
Helmin attempted 11 incorrect answers.
