4x + 3y = 65
X + y = 18
When you use elimination, multiply the second equation by -3
4x + 3y = 65
-3X -3y = -54
X = 11
X+y = 18
11 + y = 18
Y = 7
Answer:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Step-by-step explanation:
Given the expression
, to express this as a radical expressions, we'd apply the rule/law of indices that deals with converting expressions that has rational exponents into radical expressions.
The rule of indices to apply is: ![b^{\frac{m}{n}} = (\sqrt[n]{b})^m](https://tex.z-dn.net/?f=%20b%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%28%5Csqrt%5Bn%5D%7Bb%7D%29%5Em%20)
To apply this to the expression,
, the denominator of the fraction of the exponent would determine the root, that is, cube root in this case. The numerator of the exponent would then determine the exponent of the radical expressions.
Thus:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Answer:
y=3x-2
Step-by-step explanation:
Since we already know the slope, all we need to find is the y-intercept
The equation for a line is:
y=mx+b where m is the slope and b is the y-intercept. x and y are the x and y coordinates. We can use the numbers given in the problem and plug them into the equation...
y=mx+b
-8=3(-2)+b
-8=-6+b
b=-2
So the equation would be...
y=3x-2
Answer:
Step-by-step explanation:
X=8