What are the solutions of the equation y = negative 2 x squared + 9 x minus 4 shown in the graph below? On a coordinate plane, a
1 answer:
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We are going to do this step by step:
Let's start with option A
A.
X = 25 and Y = 5/2
In this case, when X = 25 , then Y = 10 ,which is different to 5/2
B.
X = 14 , Y = 35
In case, when X = 14, then Y = 28/5, which is different to 35
C.
X = 40 , Y = 24
Similarly, in this case, when X = 40, then Y = 16, which is different to 24
D.
X = 10 , Y=4
Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y
E.
X = 50 , Y = 20
In this case, the values of Y are also the same.
F.
X = 30 , Y = 12
Again, in this case, the values of Y are the same, so the pair satisfies the equation.
In conclusion: options D, E and F satisfy the equation
Answer:
The solution to the system of linear equations is (1,9).
Step-by-step explanation:
The given system of linear equations
... (1)
.... (2)
Subtract equation (2) from equation (1) to eliminate y.
On combining like terms, we get
Add 8 on both sides.
Divide both sides by 8.
The value of x is 1.
Substitute x=1 in equation (1).
The value of y is 9.
Therefore the solution to the system of linear equations is (1,9).