Answer:
Lev is incorrect because (9, 4) is not a solution to the equation.
Step-by-step explanation:
We are given the equation: 3y - 2x = 19
When we are to check if an ordered pair is a solution to an equation, we substitute the pair in the equation and compare the RHS and LHS.
If they come to be equal then we can say that the given pair is indeed a solution to the equation.
So, here, RHS = 19
LHS = 3(4) - 2(9) = 12 - 18
= -6
19
i.e., LHS ≠ RHS
So, we can say that (x, y) = (9, 4) is not a solution to the given equation.
<u>Answer:</u>
The equation using a fractional exponent is
<u>Solution:</u>
Given, term is cube root of x square
In numerical terms cube root of x square can be written as ⇒ cube root of
We have to write the expression for above given term in the form of fractional exponent of x.
In , cube root is written in fractional form
Now, powers are multiplied
Finally x is in power of a fraction, so we got the required answer
Answer:
You turn the whole number into a fraction by putting the dominator as 1 and numerator as 3. Multiple 3 and 5 so straight across.
Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )