Answer:
x = 5, y = 2
Step-by-step explanation:
First, find the value of x in respect to y:
2x + 3y = 16
2x = 16 - 3y
x = 8 - 3/2y
Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):
4(8 - 3/2y) + 10y = 40
Then, distribute and solve for y:
32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
<u>y = 2</u>
Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10
<u>x = 5</u>
<span>
<u><em>Answer:</em></u>5</span>⁵/⁴<span>
<u><em>Explanation:</em></u><u>Before we begin, remember the following:</u></span>
![\sqrt[n]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%7D%20)
<span> = x</span>¹/ⁿ
<span>
</span>
![\sqrt[n]{x^a}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Ea%7D%20)
<span> = x</span>ᵃ/ⁿ
<span>
The root form is known as the radical form while the power form is the rational form
<u>Now, for the given:</u>We want to convert from the radical (root) form to the rational (power) form.
The given is:
4th root of 5</span>⁵<span>
Applying the above rules, we will find that the rational form is:
5</span>⁵/⁴<span>
Hope this helps :)
</span>
A
2x+4>16 equals 2x> 12
x>6
D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
4b=20
Divide both sides by 4
b=5
Check by substituting 5 for b
2 (5+3)+2(5)=26
2(8) + 2(5)=26
16+10=26
26=26
Answer:
The answer is C, zero solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Multiply 2 to the first equation.
2y = 5x + 4
Compare it with the other equation
2y = 5x + 4
2y = 5x + 8
Cancel 2y and 5x on both sides.
Remaining:
4 = 8
4 ≠ 8. Therefore, the answer is C, zero solutions.