Answer:
A solution of the system of equation given in the question is;
(2) x = 7 and y = 23
Step-by-step explanation:
The given system of equation are;
2·x + 3·y = 83...(1)
y = 2·x + 9...(2)
Substituting the value of y = 2·x + 9 from equation (2) into equation (1) gives;
2·x + 3·y = 2·x + 3 × (2·x + 9) = 83
∴ 2·x + 6·x + 27 = 83
8·x = 83 - 27 = 56
x = 56/8 = 7
x = 7
By substituting the value of x = 7 derived above into equation (1), we have;
y = 2·x + 9
Where;
x = 7
y = 2 × 7 + 9 = 14 + 9 = 23
y = 23.
Answer:
there is no enough data to find the answer
Answer:
A. (0,445)
D.(118,209)
E.(172,101)
Step-by-step explanation:
The equation that we have in this problem is:
where
d is the number of dimes
n is the number of nickels
$22.25 is the total amount of money collected by Diego in the jar.
In order to find which pairs of values can be solutions to the equation, we just need to substitute each pair (d,n) into the left term on the equation, and check if the result is 22.25. Let's do it:
A. (0,445)
--> YES
B. (0.50,435)
--> NO
C. (233,21)
--> NO
D.(118,209)
--> YES
E.(172,101)
--> YES
So the correct pairs are:
A. (0,445)
D.(118,209)
E.(172,101)
Well since we know the roots are x = 5 and x = -1/4. We can convert it into an equation and make it equal to 0.
Simply work backwards instead of solving for x. For x = 5, it would be x - 5 = 0, because if you solve for x it will be 5.
Same thing for x = -1/4, the equation would be x + 1/4 = 0.
(X-5)(x+1/4) = 0.
Now multiply the 2 binomials together to get the quadratic. To get rid of the fraction after obtaining the quadratic multiply by 4 for each term in the quadratic.